56525135622400 has 81 divisors (see below), whose sum is σ = 139910031455061. Its totient is φ = 22609813662720.

The previous prime is 56525135622377. The next prime is 56525135622427. The reversal of 56525135622400 is 422653152565.

The square root of 56525135622400 is 7518320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20349048824064 + 36176086798336 = 4510992^2 + 6014656^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 601418611 + ... + 601512589.

Almost surely, 2^{56525135622400} is an apocalyptic number.

56525135622400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56525135622400 is the 7518320-th square number.

It is an amenable number.

56525135622400 is an abundant number, since it is smaller than the sum of its proper divisors (83384895832661).

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

56525135622400 is an frugal number, since it uses more digits than its factorization.

56525135622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187984 (or 93986 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 46.

Adding to 56525135622400 its reverse (422653152565), we get a palindrome (56947788774965).

The spelling of 56525135622400 in words is "fifty-six trillion, five hundred twenty-five billion, one hundred thirty-five million, six hundred twenty-two thousand, four hundred".