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.
more things than you can shake a stick at
INFORMALIf you say someone or something has more of a particular thing than you can shake a stick at, you mean they have a very large number of them. There's more hit singles on this album than you can shake a stick at. This bike boasts more features than you can shake a stick at.