252228118828680 has 256 divisors, whose sum is σ = 869790405312000. Its totient is φ = 64938635080704.

The previous prime is 252228118828639. The next prime is 252228118828691. The reversal of 252228118828680 is 86828811822252.

252228118828680 is a `hidden beast` number, since 2 + 5 + 2 + 22 + 81 + 188 + 286 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 764262262 + ... + 764592218.

It is an arithmetic number, because the mean of its divisors is an integer number (3397618770750).

Almost surely, 2^{252228118828680} is an apocalyptic number.

252228118828680 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 252228118828680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434895202656000).

252228118828680 is an abundant number, since it is smaller than the sum of its proper divisors (617562286483320).

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

252228118828680 is a wasteful number, since it uses less digits than its factorization.

252228118828680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354413 (or 354403 counting only the distinct ones).

The product of its (nonzero) digits is 31457280, while the sum is 63.

The spelling of 252228118828680 in words is "two hundred fifty-two trillion, two hundred twenty-eight billion, one hundred eighteen million, eight hundred twenty-eight thousand, six hundred eighty".