29

This number is a prime.

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There are 29 total syllables in the names of the twelve months of the year. [Gaydos]

The sum of the first 29 semiprimes is divisible by 29 (1247/29=43 which is also a prime). [Gaydos]

29 (exactly half) of the first 58 powers of two are zeroless numbers. [Gaydos]

The first 29 prime numbers all have different Collatz trajectory lengths. [Gaydos]

29! is the smallest factorial with no unique digits. Each digit that it has appears at least twice. [Gaydos]

The product of the first 29 triangular numbers is a beastly number. [Gaydos]