252039921408 has 720 divisors, whose sum is σ = 846204226560. Its totient is φ = 73969459200.

The previous prime is 252039921391. The next prime is 252039921421. The reversal of 252039921408 is 804129930252.

252039921408 is a `hidden beast` number, since 2 + 520 + 39 + 92 + 1 + 4 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1279390366 + ... + 1279390562.

It is an arithmetic number, because the mean of its divisors is an integer number (1175283648).

Almost surely, 2^252039921408 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 252039921408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423102113280).

252039921408 is an abundant number, since it is smaller than the sum of its proper divisors (594164305152).

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

252039921408 is a wasteful number, since it uses less digits than its factorization.

252039921408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 252039921408 in words is "two hundred fifty-two billion, thirty-nine million, nine hundred twenty-one thousand, four hundred eight".