52337664230400 has 792 divisors, whose sum is σ = 198746501597280. Its totient is φ = 13113899089920.

The previous prime is 52337664230389. The next prime is 52337664230413. The reversal of 52337664230400 is 403246673325.

52337664230400 is a `hidden beast` number, since 5 + 2 + 3 + 3 + 7 + 6 + 6 + 4 + 230 + 400 = 666.

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, 2424488407 + ... + 2424509993.

Almost surely, 2^{52337664230400} is an apocalyptic number.

52337664230400 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 52337664230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99373250798640).

52337664230400 is an abundant number, since it is smaller than the sum of its proper divisors (146408837366880).

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

52337664230400 is a wasteful number, since it uses less digits than its factorization.

52337664230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22259 (or 22233 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 52337664230400 in words is "fifty-two trillion, three hundred thirty-seven billion, six hundred sixty-four million, two hundred thirty thousand, four hundred".