252013913798400 has 540 divisors, whose sum is σ = 1003488004631112. Its totient is φ = 62034192506880.

The previous prime is 252013913798393. The next prime is 252013913798509. The reversal of 252013913798400 is 4897319310252.

252013913798400 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 13 + 9 + 137 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×252013913798400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11958414 + ... + 25436813.

Almost surely, 2^{252013913798400} is an apocalyptic number.

252013913798400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252013913798400 is an abundant number, since it is smaller than the sum of its proper divisors (751474090832712).

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

252013913798400 is a wasteful number, since it uses less digits than its factorization.

252013913798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37395278 (or 37395250 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 252013913798400 in words is "two hundred fifty-two trillion, thirteen billion, nine hundred thirteen million, seven hundred ninety-eight thousand, four hundred".