56513823683200 has 768 divisors, whose sum is σ = 173347467552000. Its totient is φ = 17963856691200.

The previous prime is 56513823683189. The next prime is 56513823683203. The reversal of 56513823683200 is 238632831565.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (56513823683203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 389594685 + ... + 389739715.

It is an arithmetic number, because the mean of its divisors is an integer number (225712848375).

Almost surely, 2^{56513823683200} is an apocalyptic number.

56513823683200 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 56513823683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86673733776000).

56513823683200 is an abundant number, since it is smaller than the sum of its proper divisors (116833643868800).

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

56513823683200 is a wasteful number, since it uses less digits than its factorization.

56513823683200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145133 (or 145116 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 52.

The spelling of 56513823683200 in words is "fifty-six trillion, five hundred thirteen billion, eight hundred twenty-three million, six hundred eighty-three thousand, two hundred".