52516400166800 has 60 divisors (see below), whose sum is σ = 126171499020996. Its totient is φ = 21006418944000.

The previous prime is 52516400166781. The next prime is 52516400166817. The reversal of 52516400166800 is 866100461525.

It can be written as a sum of positive squares in 6 ways, for example, as 3888594690304 + 48627805476496 = 1971952^2 + 6973364^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75500600 + ... + 76193000.

Almost surely, 2^{52516400166800} is an apocalyptic number.

52516400166800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52516400166800 is an abundant number, since it is smaller than the sum of its proper divisors (73655098854196).

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

52516400166800 is a wasteful number, since it uses less digits than its factorization.

52516400166800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882036 (or 882025 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The spelling of 52516400166800 in words is "fifty-two trillion, five hundred sixteen billion, four hundred million, one hundred sixty-six thousand, eight hundred".