52039372492800 has 3120 divisors, whose sum is σ = 254522252426112. Its totient is φ = 10175171788800.

The previous prime is 52039372492799. The next prime is 52039372492823. The reversal of 52039372492800 is 829427393025.

52039372492800 is a `hidden beast` number, since 5 + 2 + 0 + 3 + 9 + 3 + 72 + 492 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10857367204 + ... + 10857371996.

Almost surely, 2^{52039372492800} is an apocalyptic number.

52039372492800 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 52039372492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127261126213056).

52039372492800 is an abundant number, since it is smaller than the sum of its proper divisors (202482879933312).

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

52039372492800 is a wasteful number, since it uses less digits than its factorization.

52039372492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4874 (or 4838 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 52039372492800 in words is "fifty-two trillion, thirty-nine billion, three hundred seventy-two million, four hundred ninety-two thousand, eight hundred".