52625456078832 has 720 divisors, whose sum is σ = 186868841691168. Its totient is φ = 13701481758720.

The previous prime is 52625456078831. The next prime is 52625456078971. The reversal of 52625456078832 is 23887065452625.

52625456078832 is a `hidden beast` number, since 5 + 2 + 6 + 2 + 545 + 6 + 0 + 7 + 8 + 83 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 52625456078832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52625456078831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17305311232 + ... + 17305314272.

Almost surely, 2^{52625456078832} is an apocalyptic number.

52625456078832 is a gapful number since it is divisible by the number (52) 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 52625456078832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93434420845584).

52625456078832 is an abundant number, since it is smaller than the sum of its proper divisors (134243385612336).

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

52625456078832 is a wasteful number, since it uses less digits than its factorization.

52625456078832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5438 (or 5422 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 63.

The spelling of 52625456078832 in words is "fifty-two trillion, six hundred twenty-five billion, four hundred fifty-six million, seventy-eight thousand, eight hundred thirty-two".