52651950624 has 576 divisors, whose sum is σ = 198572774400. Its totient is φ = 12844210176.

The previous prime is 52651950619. The next prime is 52651950629. The reversal of 52651950624 is 42605915625.

52651950624 is a `hidden beast` number, since 5 + 2 + 6 + 5 + 19 + 5 + 0 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (52651950619) and next prime (52651950629).

It is a self number, because there is not a number n which added to its sum of digits gives 52651950624.

It is not an unprimeable number, because it can be changed into a prime (52651950629) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21410707 + ... + 21413165.

It is an arithmetic number, because the mean of its divisors is an integer number (344744400).

Almost surely, 2^52651950624 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 52651950624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99286387200).

52651950624 is an abundant number, since it is smaller than the sum of its proper divisors (145920823776).

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

52651950624 is a wasteful number, since it uses less digits than its factorization.

52651950624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2557 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 52651950624 in words is "fifty-two billion, six hundred fifty-one million, nine hundred fifty thousand, six hundred twenty-four".