254350051040100 has 72 divisors (see below), whose sum is σ = 737969396310720. Its totient is φ = 67637747991680.

The previous prime is 254350051040083. The next prime is 254350051040149. The reversal of 254350051040100 is 1040150053452.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1180718907 + ... + 1180934306.

It is an arithmetic number, because the mean of its divisors is an integer number (10249574948760).

Almost surely, 2^{254350051040100} is an apocalyptic number.

254350051040100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254350051040100 is an abundant number, since it is smaller than the sum of its proper divisors (483619345270620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

254350051040100 is a wasteful number, since it uses less digits than its factorization.

254350051040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361653589 (or 2361653582 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 254350051040100 in words is "two hundred fifty-four trillion, three hundred fifty billion, fifty-one million, forty thousand, one hundred".