52365291264 has 576 divisors, whose sum is σ = 187904102400. Its totient is φ = 14166835200.

The previous prime is 52365291263. The next prime is 52365291281. The reversal of 52365291264 is 46219256325.

52365291264 is a `hidden beast` number, since 5 + 2 + 365 + 29 + 1 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52365291263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30640042 + ... + 30641750.

It is an arithmetic number, because the mean of its divisors is an integer number (326222400).

Almost surely, 2^52365291264 is an apocalyptic number.

52365291264 is a gapful number since it is divisible by the number (54) 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 52365291264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93952051200).

52365291264 is an abundant number, since it is smaller than the sum of its proper divisors (135538811136).

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

52365291264 is a wasteful number, since it uses less digits than its factorization.

52365291264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1769 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 52365291264 in words is "fifty-two billion, three hundred sixty-five million, two hundred ninety-one thousand, two hundred sixty-four".