52037692358400 has 4320 divisors, whose sum is σ = 240561172544000. Its totient is φ = 11061279129600.

The previous prime is 52037692358383. The next prime is 52037692358441. The reversal of 52037692358400 is 485329673025.

52037692358400 is a `hidden beast` number, since 5 + 2 + 0 + 37 + 6 + 9 + 23 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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 479 ways as a sum of consecutive naturals, for example, 246624134295 + ... + 246624134505.

Almost surely, 2^{52037692358400} is an apocalyptic number.

52037692358400 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 52037692358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120280586272000).

52037692358400 is an abundant number, since it is smaller than the sum of its proper divisors (188523480185600).

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

52037692358400 is a wasteful number, since it uses less digits than its factorization.

52037692358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 52037692358400 in words is "fifty-two trillion, thirty-seven billion, six hundred ninety-two million, three hundred fifty-eight thousand, four hundred".