52504662672 has 450 divisors, whose sum is σ = 194333886054. Its totient is φ = 13635578880.

The previous prime is 52504662611. The next prime is 52504662697. The reversal of 52504662672 is 27626640525.

52504662672 is a `hidden beast` number, since 52 + 50 + 466 + 26 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35530742016 + 16973920656 = 188496^2 + 130284^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 7680568 + ... + 7687400.

Almost surely, 2^52504662672 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 52504662672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97166943027).

52504662672 is an abundant number, since it is smaller than the sum of its proper divisors (141829223382).

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

52504662672 is a wasteful number, since it uses less digits than its factorization.

52504662672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6889 (or 6856 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 52504662672 in words is "fifty-two billion, five hundred four million, six hundred sixty-two thousand, six hundred seventy-two".