252472115952896 has 864 divisors, whose sum is σ = 642632030208000. Its totient is φ = 98358246604800.

The previous prime is 252472115952871. The next prime is 252472115952907. The reversal of 252472115952896 is 698259511274252.

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277137338681 + ... + 277137339591.

It is an arithmetic number, because the mean of its divisors is an integer number (743787072000).

Almost surely, 2^{252472115952896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252472115952896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321316015104000).

252472115952896 is an abundant number, since it is smaller than the sum of its proper divisors (390159914255104).

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

252472115952896 is a wasteful number, since it uses less digits than its factorization.

252472115952896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1418 counting only the distinct ones).

The product of its digits is 217728000, while the sum is 68.

The spelling of 252472115952896 in words is "two hundred fifty-two trillion, four hundred seventy-two billion, one hundred fifteen million, nine hundred fifty-two thousand, eight hundred ninety-six".