52715707632 has 240 divisors, whose sum is σ = 185283379200. Its totient is φ = 14268804480.

The previous prime is 52715707559. The next prime is 52715707637. The reversal of 52715707632 is 23670751725.

52715707632 is a `hidden beast` number, since 5 + 2 + 7 + 1 + 5 + 7 + 0 + 7 + 632 = 666.

It is a super-2 number, since 2×52715707632² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52715707637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336657 + ... + 467727.

It is an arithmetic number, because the mean of its divisors is an integer number (772014080).

Almost surely, 2^52715707632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52715707632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92641689600).

52715707632 is an abundant number, since it is smaller than the sum of its proper divisors (132567671568).

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

52715707632 is a wasteful number, since it uses less digits than its factorization.

52715707632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131121 (or 131102 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 52715707632 in words is "fifty-two billion, seven hundred fifteen million, seven hundred seven thousand, six hundred thirty-two".