252129296160 has 864 divisors, whose sum is σ = 1050300276480. Its totient is φ = 56943710208.

The previous prime is 252129296149. The next prime is 252129296179. The reversal of 252129296160 is 61692921252.

252129296160 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 2 + 9 + 29 + 616 + 0 = 666.

252129296160 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 (864).

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

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 143 ways as a sum of consecutive naturals, for example, 169554937 + ... + 169556423.

It is an arithmetic number, because the mean of its divisors is an integer number (1215625320).

Almost surely, 2^252129296160 is an apocalyptic number.

252129296160 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 252129296160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525150138240).

252129296160 is an abundant number, since it is smaller than the sum of its proper divisors (798170980320).

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

252129296160 is a wasteful number, since it uses less digits than its factorization.

252129296160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 252129296160 in words is "two hundred fifty-two billion, one hundred twenty-nine million, two hundred ninety-six thousand, one hundred sixty".