56580241132800 has 3456 divisors, whose sum is σ = 282754702540800. Its totient is φ = 10707075072000.

The previous prime is 56580241132781. The next prime is 56580241132813. The reversal of 56580241132800 is 823114208565.

56580241132800 is a `hidden beast` number, since 5 + 6 + 5 + 80 + 241 + 1 + 328 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 7012047166 + ... + 7012055234.

It is an arithmetic number, because the mean of its divisors is an integer number (81815596800).

Almost surely, 2^{56580241132800} is an apocalyptic number.

56580241132800 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 56580241132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141377351270400).

56580241132800 is an abundant number, since it is smaller than the sum of its proper divisors (226174461408000).

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

56580241132800 is a wasteful number, since it uses less digits than its factorization.

56580241132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8170 (or 8145 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 56580241132800 in words is "fifty-six trillion, five hundred eighty billion, two hundred forty-one million, one hundred thirty-two thousand, eight hundred".