252927112032 has 384 divisors, whose sum is σ = 872290944000. Its totient is φ = 69797376000.

The previous prime is 252927112019. The next prime is 252927112043. The reversal of 252927112032 is 230211729252.

252927112032 is a `hidden beast` number, since 2 + 529 + 2 + 7 + 1 + 120 + 3 + 2 = 666.

252927112032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25039719 + ... + 25049817.

It is an arithmetic number, because the mean of its divisors is an integer number (2271591000).

Almost surely, 2^252927112032 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 252927112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436145472000).

252927112032 is an abundant number, since it is smaller than the sum of its proper divisors (619363831968).

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

252927112032 is a wasteful number, since it uses less digits than its factorization.

252927112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10267 (or 10253 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 252927112032 in words is "two hundred fifty-two billion, nine hundred twenty-seven million, one hundred twelve thousand, thirty-two".