252758996363520 has 576 divisors, whose sum is σ = 912693555540480. Its totient is φ = 66221361561600.

The previous prime is 252758996363513. The next prime is 252758996363551. The reversal of 252758996363520 is 25363699857252.

252758996363520 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 5 + 8 + 9 + 96 + 3 + 6 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×252758996363520² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 63 ways as a sum of consecutive naturals, for example, 1848787965 + ... + 1848924675.

Almost surely, 2^{252758996363520} is an apocalyptic number.

252758996363520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252758996363520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456346777770240).

252758996363520 is an abundant number, since it is smaller than the sum of its proper divisors (659934559176960).

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

252758996363520 is a wasteful number, since it uses less digits than its factorization.

252758996363520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137679 (or 137659 counting only the distinct ones).

The product of its (nonzero) digits is 1469664000, while the sum is 72.

The spelling of 252758996363520 in words is "two hundred fifty-two trillion, seven hundred fifty-eight billion, nine hundred ninety-six million, three hundred sixty-three thousand, five hundred twenty".