252323372160 has 320 divisors, whose sum is σ = 914554048320. Its totient is φ = 66281048064.

The previous prime is 252323372099. The next prime is 252323372183. The reversal of 252323372160 is 61273323252.

252323372160 is a `hidden beast` number, since 2 + 523 + 2 + 3 + 3 + 72 + 1 + 60 = 666.

252323372160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3436957 + ... + 3509603.

It is an arithmetic number, because the mean of its divisors is an integer number (2857981401).

Almost surely, 2^252323372160 is an apocalyptic number.

252323372160 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 252323372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457277024160).

252323372160 is an abundant number, since it is smaller than the sum of its proper divisors (662230676160).

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

252323372160 is an equidigital number, since it uses as much as digits as its factorization.

252323372160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72745 (or 72724 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 252323372160 in words is "two hundred fifty-two billion, three hundred twenty-three million, three hundred seventy-two thousand, one hundred sixty".