52568936000400 has 120 divisors (see below), whose sum is σ = 168398192388384. Its totient is φ = 14018185856000.

The previous prime is 52568936000387. The next prime is 52568936000431. The reversal of 52568936000400 is 400063986525.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×52568936000400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 52568936000400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98213500 + ... + 98747300.

Almost surely, 2^{52568936000400} is an apocalyptic number.

52568936000400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52568936000400 is an abundant number, since it is smaller than the sum of its proper divisors (115829256387984).

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

52568936000400 is a wasteful number, since it uses less digits than its factorization.

52568936000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615889 (or 615878 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

Adding to 52568936000400 its reverse (400063986525), we get a palindrome (52968999986925).

The spelling of 52568936000400 in words is "fifty-two trillion, five hundred sixty-eight billion, nine hundred thirty-six million, four hundred", and thus it is an aban number.