52638804800 has 168 divisors, whose sum is σ = 137616575160. Its totient is φ = 19779379200.

The previous prime is 52638804769. The next prime is 52638804821. The reversal of 52638804800 is 840883625.

It can be written as a sum of positive squares in 12 ways, for example, as 212459776 + 52426345024 = 14576^2 + 228968^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 1701470 + ... + 1732130.

Almost surely, 2^52638804800 is an apocalyptic number.

52638804800 is a gapful number since it is divisible by the number (50) 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 52638804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68808287580).

52638804800 is an abundant number, since it is smaller than the sum of its proper divisors (84977770360).

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

52638804800 is a wasteful number, since it uses less digits than its factorization.

52638804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30749 (or 30734 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The spelling of 52638804800 in words is "fifty-two billion, six hundred thirty-eight million, eight hundred four thousand, eight hundred".