52816506624 has 576 divisors, whose sum is σ = 185468308480. Its totient is φ = 14511882240.

The previous prime is 52816506607. The next prime is 52816506647. The reversal of 52816506624 is 42660561825.

52816506624 is a `hidden beast` number, since 5 + 2 + 8 + 16 + 5 + 0 + 6 + 624 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 52816506624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291803814 + ... + 291803994.

Almost surely, 2^52816506624 is an apocalyptic number.

52816506624 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 52816506624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92734154240).

52816506624 is an abundant number, since it is smaller than the sum of its proper divisors (132651801856).

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

52816506624 is a wasteful number, since it uses less digits than its factorization.

52816506624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 52816506624 in words is "fifty-two billion, eight hundred sixteen million, five hundred six thousand, six hundred twenty-four".