52239678624 has 480 divisors, whose sum is σ = 186918399360. Its totient is φ = 13971750912.

The previous prime is 52239678529. The next prime is 52239678643. The reversal of 52239678624 is 42687693225.

52239678624 is a `hidden beast` number, since 5 + 2 + 2 + 3 + 9 + 6 + 7 + 8 + 624 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8709120) is a multiple of the sum of its prime divisors (945).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 79270807 + ... + 79271465.

It is an arithmetic number, because the mean of its divisors is an integer number (389413332).

Almost surely, 2^52239678624 is an apocalyptic number.

52239678624 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 52239678624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93459199680).

52239678624 is an abundant number, since it is smaller than the sum of its proper divisors (134678720736).

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

52239678624 is a wasteful number, since it uses less digits than its factorization.

52239678624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 945 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 52239678624 in words is "fifty-two billion, two hundred thirty-nine million, six hundred seventy-eight thousand, six hundred twenty-four".