252258960059328 has 112 divisors (see below), whose sum is σ = 690650411940000. Its totient is φ = 81163246338048.

The previous prime is 252258960059297. The next prime is 252258960059341. The reversal of 252258960059328 is 823950069852252.

It is a super-2 number, since 2×252258960059328² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12636168 + ... + 25771896.

Almost surely, 2^{252258960059328} 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 252258960059328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345325205970000).

252258960059328 is an abundant number, since it is smaller than the sum of its proper divisors (438391451880672).

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

252258960059328 is a wasteful number, since it uses less digits than its factorization.

252258960059328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13139222 (or 13139212 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 66.

The spelling of 252258960059328 in words is "two hundred fifty-two trillion, two hundred fifty-eight billion, nine hundred sixty million, fifty-nine thousand, three hundred twenty-eight".