52865257761792 has 880 divisors, whose sum is σ = 192270422108160. Its totient is φ = 14140083437568.

The previous prime is 52865257761761. The next prime is 52865257761793. The reversal of 52865257761792 is 29716775256825.

52865257761792 is a `hidden beast` number, since 5 + 2 + 8 + 6 + 525 + 7 + 7 + 6 + 1 + 7 + 92 = 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 52865257761792.

It is not an unprimeable number, because it can be changed into a prime (52865257761793) 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 79 ways as a sum of consecutive naturals, for example, 627595134 + ... + 627679362.

It is an arithmetic number, because the mean of its divisors is an integer number (218489116032).

Almost surely, 2^{52865257761792} 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 52865257761792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96135211054080).

52865257761792 is an abundant number, since it is smaller than the sum of its proper divisors (139405164346368).

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

52865257761792 is a wasteful number, since it uses less digits than its factorization.

52865257761792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84338 (or 84311 counting only the distinct ones).

The product of its digits is 889056000, while the sum is 72.

The spelling of 52865257761792 in words is "fifty-two trillion, eight hundred sixty-five billion, two hundred fifty-seven million, seven hundred sixty-one thousand, seven hundred ninety-two".