56187961600 has 81 divisors (see below), whose sum is σ = 139120937053. Its totient is φ = 22467599360.

The previous prime is 56187961541. The next prime is 56187961601. The reversal of 56187961600 is 616978165.

It is a happy number.

The square root of 56187961600 is 237040.

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., 20227666176 + 35960295424 = 142224^2 + 189632^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56187961601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18961719 + ... + 18964681.

Almost surely, 2^56187961600 is an apocalyptic number.

56187961600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56187961600 is the 237040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56187961600

56187961600 is an abundant number, since it is smaller than the sum of its proper divisors (82932975453).

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

56187961600 is an frugal number, since it uses more digits than its factorization.

56187961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

Multiplying 56187961600 by its sum of digits (49), we get a square (2753210118400 = 1659280²).

The spelling of 56187961600 in words is "fifty-six billion, one hundred eighty-seven million, nine hundred sixty-one thousand, six hundred".