56579143420800 has 3072 divisors, whose sum is σ = 285546023884800. Its totient is φ = 10558439424000.

The previous prime is 56579143420783. The next prime is 56579143420871. The reversal of 56579143420800 is 802434197565.

It is a happy number.

56579143420800 is a `hidden beast` number, since 5 + 6 + 5 + 79 + 143 + 420 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3199987960 + ... + 3200005640.

It is an arithmetic number, because the mean of its divisors is an integer number (92951179650).

It is a 1-persistent number, because it is pandigital, but 2⋅56579143420800 = 113158286841600 is not.

Almost surely, 2^{56579143420800} is an apocalyptic number.

56579143420800 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 56579143420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142773011942400).

56579143420800 is an abundant number, since it is smaller than the sum of its proper divisors (228966880464000).

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

56579143420800 is a wasteful number, since it uses less digits than its factorization.

56579143420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17782 (or 17759 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 56579143420800 in words is "fifty-six trillion, five hundred seventy-nine billion, one hundred forty-three million, four hundred twenty thousand, eight hundred".