52115918400 has 1176 divisors, whose sum is σ = 237120281664. Its totient is φ = 10973491200.

The previous prime is 52115918383. The next prime is 52115918411. The reversal of 52115918400 is 481951125.

52115918400 is a `hidden beast` number, since 5 + 21 + 1 + 591 + 8 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 106142155 + ... + 106142645.

Almost surely, 2^52115918400 is an apocalyptic number.

52115918400 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 52115918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118560140832).

52115918400 is an abundant number, since it is smaller than the sum of its proper divisors (185004363264).

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

52115918400 is a wasteful number, since it uses less digits than its factorization.

52115918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 52115918400 in words is "fifty-two billion, one hundred fifteen million, nine hundred eighteen thousand, four hundred".