252652556160 has 320 divisors, whose sum is σ = 914641429680. Its totient is φ = 66450087936.

The previous prime is 252652556159. The next prime is 252652556203. The reversal of 252652556160 is 61655256252.

252652556160 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 5 + 25 + 5 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3750939 + ... + 3817701.

Almost surely, 2^252652556160 is an apocalyptic number.

252652556160 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 252652556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457320714840).

252652556160 is an abundant number, since it is smaller than the sum of its proper divisors (661988873520).

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

252652556160 is an equidigital number, since it uses as much as digits as its factorization.

252652556160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66867 (or 66846 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 252652556160 in words is "two hundred fifty-two billion, six hundred fifty-two million, five hundred fifty-six thousand, one hundred sixty".