252451792696320 has 2112 divisors, whose sum is σ = 1083736577064960. Its totient is φ = 55095847944192.

The previous prime is 252451792696289. The next prime is 252451792696349. The reversal of 252451792696320 is 23696297154252.

252451792696320 is a `hidden beast` number, since 2 + 5 + 2 + 4 + 517 + 9 + 2 + 6 + 96 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 208121840034 + ... + 208121841246.

Almost surely, 2^{252451792696320} is an apocalyptic number.

252451792696320 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 252451792696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541868288532480).

252451792696320 is an abundant number, since it is smaller than the sum of its proper divisors (831284784368640).

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

252451792696320 is a wasteful number, since it uses less digits than its factorization.

252451792696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 252451792696320 in words is "two hundred fifty-two trillion, four hundred fifty-one billion, seven hundred ninety-two million, six hundred ninety-six thousand, three hundred twenty".