shake a stick at

more (something) than you can shake a stick at

A very large number; an amount that is more than one can count. When it comes to family members, Jay has more than you can shake a stick at.
See also: can, more, shake, stick
Farlex Dictionary of Idioms.

shake a stick at

Slang
To point out, designate, or name: "All of a sudden there came into being a vast conservative infrastructure: think-tanks ... and more foundations than you could shake a stick at" (National Review).
See also: shake, stick
American Heritage® Dictionary of the English Language, Fifth Edition.
See also:
  • more (something) than you can shake a stick at
  • more than one can shake a stick at
  • more than you can shake a stick at
  • more things than you can shake a stick at
  • more... than you can shake a stick at
  • shake hands with the unemployed
  • Shake it up!
  • shake up
  • shook up
  • shake your booty