252859656960 has 504 divisors, whose sum is σ = 917434347984. Its totient is φ = 66736742400.

The previous prime is 252859656887. The next prime is 252859656983. The reversal of 252859656960 is 69656958252.

252859656960 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 5 + 9 + 6 + 569 + 60 = 666.

252859656960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252859656960² (a number of 24 digits) contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 94243779 + ... + 94246461.

It is an arithmetic number, because the mean of its divisors is an integer number (1820306246).

Almost surely, 2^252859656960 is an apocalyptic number.

252859656960 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 252859656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458717173992).

252859656960 is an abundant number, since it is smaller than the sum of its proper divisors (664574691024).

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

252859656960 is an equidigital number, since it uses as much as digits as its factorization.

252859656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 252859656960 in words is "two hundred fifty-two billion, eight hundred fifty-nine million, six hundred fifty-six thousand, nine hundred sixty".