52611508864 has 128 divisors (see below), whose sum is σ = 109222966800. Its totient is φ = 25222938624.

The previous prime is 52611508813. The next prime is 52611508879. The reversal of 52611508864 is 46880511625.

It can be written as a sum of positive squares in 8 ways, for example, as 50913409600 + 1698099264 = 225640^2 + 41208^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 128634292 + ... + 128634700.

Almost surely, 2^52611508864 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 52611508864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54611483400).

52611508864 is an abundant number, since it is smaller than the sum of its proper divisors (56611457936).

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

52611508864 is a wasteful number, since it uses less digits than its factorization.

52611508864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 46.

The spelling of 52611508864 in words is "fifty-two billion, six hundred eleven million, five hundred eight thousand, eight hundred sixty-four".