252330620132160 has 84 divisors (see below), whose sum is σ = 867912195506148. Its totient is φ = 67288165367808.

The previous prime is 252330620132159. The next prime is 252330620132249. The reversal of 252330620132160 is 61231026033252.

252330620132160 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 3 + 0 + 620 + 1 + 3 + 21 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 130753004433984 + 121577615698176 = 11434728^2 + 11026224^2 .

It is a super-3 number, since 3×252330620132160³ (a number of 44 digits) contains 333 as substring.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43807396449 + ... + 43807402208.

Almost surely, 2^{252330620132160} is an apocalyptic number.

252330620132160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252330620132160 is an abundant number, since it is smaller than the sum of its proper divisors (615581575373988).

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

252330620132160 is a wasteful number, since it uses less digits than its factorization.

252330620132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87614798680 (or 87614798667 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 252330620132160 in words is "two hundred fifty-two trillion, three hundred thirty billion, six hundred twenty million, one hundred thirty-two thousand, one hundred sixty".