252588420815600 has 120 divisors (see below), whose sum is σ = 613061998916640. Its totient is φ = 100001106293760.

The previous prime is 252588420815587. The next prime is 252588420815729. The reversal of 252588420815600 is 6518024885252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75699266 + ... + 78965534.

It is an arithmetic number, because the mean of its divisors is an integer number (5108849990972).

Almost surely, 2^{252588420815600} is an apocalyptic number.

252588420815600 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 252588420815600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306530999458320).

252588420815600 is an abundant number, since it is smaller than the sum of its proper divisors (360473578101040).

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

252588420815600 is a wasteful number, since it uses less digits than its factorization.

252588420815600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268267 (or 3268256 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 56.

The spelling of 252588420815600 in words is "two hundred fifty-two trillion, five hundred eighty-eight billion, four hundred twenty million, eight hundred fifteen thousand, six hundred".