52580569675392 has 512 divisors, whose sum is σ = 182550219264000. Its totient is φ = 14726723788800.

The previous prime is 52580569675369. The next prime is 52580569675393. The reversal of 52580569675392 is 29357696508525.

It is a happy number.

52580569675392 is a `hidden beast` number, since 5 + 2 + 5 + 8 + 0 + 569 + 6 + 7 + 53 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 52580569675392.

It is not an unprimeable number, because it can be changed into a prime (52580569675393) 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, 28726713 + ... + 30502215.

It is an arithmetic number, because the mean of its divisors is an integer number (356543397000).

Almost surely, 2^{52580569675392} 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 52580569675392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91275109632000).

52580569675392 is an abundant number, since it is smaller than the sum of its proper divisors (129969649588608).

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

52580569675392 is a wasteful number, since it uses less digits than its factorization.

52580569675392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775597 (or 1775579 counting only the distinct ones).

The product of its (nonzero) digits is 1224720000, while the sum is 72.

The spelling of 52580569675392 in words is "fifty-two trillion, five hundred eighty billion, five hundred sixty-nine million, six hundred seventy-five thousand, three hundred ninety-two".