652356956160 has 2496 divisors, whose sum is σ = 3091244083200. Its totient is φ = 123325120512.

The previous prime is 652356956123. The next prime is 652356956177. The reversal of 652356956160 is 61659653256.

652356956160 is a `hidden beast` number, since 6 + 5 + 23 + 56 + 9 + 561 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a junction number, because it is equal to n+sod(n) for n = 652356956097 and 652356956106.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7329853396 + ... + 7329853484.

It is an arithmetic number, because the mean of its divisors is an integer number (1238479200).

Almost surely, 2^652356956160 is an apocalyptic number.

652356956160 is a gapful number since it is divisible by the number (60) 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 652356956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545622041600).

652356956160 is an abundant number, since it is smaller than the sum of its proper divisors (2438887127040).

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

652356956160 is a wasteful number, since it uses less digits than its factorization.

652356956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 652356956160 in words is "six hundred fifty-two billion, three hundred fifty-six million, nine hundred fifty-six thousand, one hundred sixty".