52468660800 has 126 divisors (see below), whose sum is σ = 186486060098. Its totient is φ = 13991639040.

The previous prime is 52468660793. The next prime is 52468660831. The reversal of 52468660800 is 806686425.

52468660800 is a `hidden beast` number, since 52 + 468 + 6 + 60 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13293167616 + 39175493184 = 115296^2 + 197928^2 .

It is a super-3 number, since 3×52468660800³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 17 ways as a sum of consecutive naturals, for example, 1807429 + ... + 1836228.

Almost surely, 2^52468660800 is an apocalyptic number.

52468660800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52468660800 is an abundant number, since it is smaller than the sum of its proper divisors (134017399298).

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

52468660800 is a wasteful number, since it uses less digits than its factorization.

52468660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3643685 (or 3643667 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 52468660800 in words is "fifty-two billion, four hundred sixty-eight million, six hundred sixty thousand, eight hundred".