252675722560 has 224 divisors, whose sum is σ = 664530324480. Its totient is φ = 91138867200.

The previous prime is 252675722489. The next prime is 252675722597. The reversal of 252675722560 is 65227576252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11486292 + ... + 11508268.

Almost surely, 2^252675722560 is an apocalyptic number.

252675722560 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 252675722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332265162240).

252675722560 is an abundant number, since it is smaller than the sum of its proper divisors (411854601920).

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

252675722560 is a wasteful number, since it uses less digits than its factorization.

252675722560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22105 (or 22095 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 49.

The spelling of 252675722560 in words is "two hundred fifty-two billion, six hundred seventy-five million, seven hundred twenty-two thousand, five hundred sixty".