diff --git a/django/db/models/query.py b/django/db/models/query.py
index 1479bea47f..a8e1560853 100644
--- a/django/db/models/query.py
+++ b/django/db/models/query.py
@@ -490,7 +490,7 @@ class QuerySet:
         if not fields:
             raise ValueError('Field names must be given to bulk_update().')
         objs = tuple(objs)
-        if not all(obj.pk for obj in objs):
+        if any(obj.pk is None for obj in objs):
             raise ValueError('All bulk_update() objects must have a primary key set.')
         fields = [self.model._meta.get_field(name) for name in fields]
         if any(not f.concrete or f.many_to_many for f in fields):
diff --git a/tests/queries/models.py b/tests/queries/models.py
index ead8439118..af0af1d10c 100644
--- a/tests/queries/models.py
+++ b/tests/queries/models.py
@@ -591,6 +591,7 @@ class MyObject(models.Model):
 
 class Order(models.Model):
     id = models.IntegerField(primary_key=True)
+    name = models.CharField(max_length=12, null=True, default='')
 
     class Meta:
         ordering = ('pk',)
diff --git a/tests/queries/test_bulk_update.py b/tests/queries/test_bulk_update.py
index ab2bda289c..e2e9a6147a 100644
--- a/tests/queries/test_bulk_update.py
+++ b/tests/queries/test_bulk_update.py
@@ -7,7 +7,7 @@ from django.test import TestCase
 
 from .models import (
     Article, CustomDbColumn, CustomPk, Detail, Individual, Member, Note,
-    Number, Paragraph, SpecialCategory, Tag, Valid,
+    Number, Order, Paragraph, SpecialCategory, Tag, Valid,
 )
 
 
@@ -167,6 +167,13 @@ class BulkUpdateTests(TestCase):
             [cat.extra for cat in custom_pks]
         )
 
+    def test_falsey_pk_value(self):
+        order = Order.objects.create(pk=0, name='test')
+        order.name = 'updated'
+        Order.objects.bulk_update([order], ['name'])
+        order.refresh_from_db()
+        self.assertEqual(order.name, 'updated')
+
     def test_inherited_fields(self):
         special_categories = [
             SpecialCategory.objects.create(name=str(i), special_name=str(i))