52399670400 has 576 divisors, whose sum is σ = 233120347200. Its totient is φ = 10887782400.

The previous prime is 52399670387. The next prime is 52399670471. The reversal of 52399670400 is 407699325.

It is a happy number.

52399670400 is a `hidden beast` number, since 5 + 239 + 9 + 6 + 7 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2205786 + ... + 2229414.

It is an arithmetic number, because the mean of its divisors is an integer number (404722825).

Almost surely, 2^52399670400 is an apocalyptic number.

52399670400 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 52399670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116560173600).

52399670400 is an abundant number, since it is smaller than the sum of its proper divisors (180720676800).

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

52399670400 is a wasteful number, since it uses less digits than its factorization.

52399670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23677 (or 23657 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 52399670400 in words is "fifty-two billion, three hundred ninety-nine million, six hundred seventy thousand, four hundred".