253074172560000 has 320 divisors, whose sum is σ = 916381588399200. Its totient is φ = 61351313920000.

The previous prime is 253074172559981. The next prime is 253074172560007. The reversal of 253074172560000 is 65271470352.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×253074172560000³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (253074172560007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45290715 + ... + 50570714.

Almost surely, 2^{253074172560000} is an apocalyptic number.

253074172560000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253074172560000 is an abundant number, since it is smaller than the sum of its proper divisors (663307415839200).

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

253074172560000 is an equidigital number, since it uses as much as digits as its factorization.

253074172560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95861477 (or 95861450 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 253074172560000 in words is "two hundred fifty-three trillion, seventy-four billion, one hundred seventy-two million, five hundred sixty thousand".