52335972864 has 480 divisors, whose sum is σ = 178917298560. Its totient is φ = 14417657856.

The previous prime is 52335972827. The next prime is 52335972869. The reversal of 52335972864 is 46827953325.

52335972864 is a `hidden beast` number, since 5 + 2 + 3 + 359 + 7 + 286 + 4 = 666.

Its product of digits (10886400) is a multiple of the sum of its prime factors (560).

It is a self number, because there is not a number n which added to its sum of digits gives 52335972864.

It is not an unprimeable number, because it can be changed into a prime (52335972869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134539582 + ... + 134539970.

It is an arithmetic number, because the mean of its divisors is an integer number (372744372).

Almost surely, 2^52335972864 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 52335972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89458649280).

52335972864 is an abundant number, since it is smaller than the sum of its proper divisors (126581325696).

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

52335972864 is a wasteful number, since it uses less digits than its factorization.

52335972864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 541 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 52335972864 in words is "fifty-two billion, three hundred thirty-five million, nine hundred seventy-two thousand, eight hundred sixty-four".