53329588624 has 45 divisors (see below), whose sum is σ = 111910834179. Its totient is φ = 24608113920.

The previous prime is 53329588597. The next prime is 53329588679. The reversal of 53329588624 is 42688592335.

The square root of 53329588624 is 230932.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12512659600 + 40816929024 = 111860^2 + 202032^2 .

It is a super-3 number, since 3×53329588624³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12006244 + ... + 12010684.

Almost surely, 2^53329588624 is an apocalyptic number.

53329588624 is the 230932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53329588624

53329588624 is an abundant number, since it is smaller than the sum of its proper divisors (58581245555).

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

53329588624 is an frugal number, since it uses more digits than its factorization.

53329588624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8916 (or 4456 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 55.

The spelling of 53329588624 in words is "fifty-three billion, three hundred twenty-nine million, five hundred eighty-eight thousand, six hundred twenty-four".