52581675168 has 144 divisors (see below), whose sum is σ = 163316121696. Its totient is φ = 15914949120.

The previous prime is 52581675089. The next prime is 52581675199. The reversal of 52581675168 is 86157618525.

52581675168 is a `hidden beast` number, since 5 + 2 + 581 + 6 + 7 + 51 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2787946 + ... + 2806742.

It is an arithmetic number, because the mean of its divisors is an integer number (1134139734).

Almost surely, 2^52581675168 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 52581675168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81658060848).

52581675168 is an abundant number, since it is smaller than the sum of its proper divisors (110734446528).

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

52581675168 is a wasteful number, since it uses less digits than its factorization.

52581675168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19707 (or 19696 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 54.

The spelling of 52581675168 in words is "fifty-two billion, five hundred eighty-one million, six hundred seventy-five thousand, one hundred sixty-eight".