56364161800 has 96 divisors (see below), whose sum is σ = 132391470600. Its totient is φ = 22315438080.

The previous prime is 56364161761. The next prime is 56364161851. The reversal of 56364161800 is 816146365.

It can be written as a sum of positive squares in 12 ways, for example, as 9211776484 + 47152385316 = 95978^2 + 217146^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8443264 + ... + 8449936.

Almost surely, 2^56364161800 is an apocalyptic number.

56364161800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56364161800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66195735300).

56364161800 is an abundant number, since it is smaller than the sum of its proper divisors (76027308800).

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

56364161800 is a wasteful number, since it uses less digits than its factorization.

56364161800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7115 (or 7106 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 56364161800 in words is "fifty-six billion, three hundred sixty-four million, one hundred sixty-one thousand, eight hundred".