52536624400 has 90 divisors (see below), whose sum is σ = 136675447710. Its totient is φ = 19398113280.

The previous prime is 52536624397. The next prime is 52536624401. The reversal of 52536624400 is 442663525.

It can be written as a sum of positive squares in 9 ways, for example, as 23788743696 + 28747880704 = 154236^2 + 169552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 52536624400.

It is not an unprimeable number, because it can be changed into a prime (52536624401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 320985 + ... + 456184.

Almost surely, 2^52536624400 is an apocalyptic number.

52536624400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52536624400 is an abundant number, since it is smaller than the sum of its proper divisors (84138823310).

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

52536624400 is a wasteful number, since it uses less digits than its factorization.

52536624400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777213 (or 777189 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 52536624400 in words is "fifty-two billion, five hundred thirty-six million, six hundred twenty-four thousand, four hundred".