56686022400 has 648 divisors, whose sum is σ = 220388862960. Its totient is φ = 12792299520.

The previous prime is 56686022399. The next prime is 56686022423. The reversal of 56686022400 is 422068665.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83730862 + ... + 83731538.

It is an arithmetic number, because the mean of its divisors is an integer number (340106270).

Almost surely, 2^56686022400 is an apocalyptic number.

56686022400 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 56686022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110194431480).

56686022400 is an abundant number, since it is smaller than the sum of its proper divisors (163702840560).

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

56686022400 is a wasteful number, since it uses less digits than its factorization.

56686022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 56686022400 in words is "fifty-six billion, six hundred eighty-six million, twenty-two thousand, four hundred".