Is there a US 5000 dollar bill?

There were, but not currently. At one time the US issued high-denomination ($500, $1000, $5000, and $10000) bills. They didn't circulate much among the general public and printing ended in 1945, although the last bills in the series were dated 1934.

There's more information at the Related Link.

Distribution of high-value bills by banks was halted in 1969 as a way to discourage their use in criminal activities such as drugs, money laundering, weapons, etc. The bills were never withdrawn so technically you could spend one but they're worth more than face value to a collector.