253172774560000 has 90 divisors (see below), whose sum is σ = 631493598973622. Its totient is φ = 101269109760000.

The previous prime is 253172774559959. The next prime is 253172774560033. The reversal of 253172774560000 is 65477271352.

It can be written as a sum of positive squares in 5 ways, for example, as 87217369272576 + 165955405287424 = 9339024^2 + 12882368^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 791004921 + ... + 791324920.

Almost surely, 2^{253172774560000} is an apocalyptic number.

253172774560000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253172774560000 is an abundant number, since it is smaller than the sum of its proper divisors (378320824413622).

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

253172774560000 is an frugal number, since it uses more digits than its factorization.

253172774560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582329877 (or 1582329848 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 49.

The spelling of 253172774560000 in words is "two hundred fifty-three trillion, one hundred seventy-two billion, seven hundred seventy-four million, five hundred sixty thousand".