56580618240 has 288 divisors, whose sum is σ = 204631932960. Its totient is φ = 14431617024.

The previous prime is 56580618221. The next prime is 56580618251. The reversal of 56580618240 is 4281608565.

56580618240 is a `hidden beast` number, since 5 + 6 + 5 + 8 + 0 + 618 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 2106334 + ... + 2133026.

It is an arithmetic number, because the mean of its divisors is an integer number (710527545).

Almost surely, 2^56580618240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56580618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102315966480).

56580618240 is an abundant number, since it is smaller than the sum of its proper divisors (148051314720).

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

56580618240 is a wasteful number, since it uses less digits than its factorization.

56580618240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26749 (or 26726 counting only the distinct ones).

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

The spelling of 56580618240 in words is "fifty-six billion, five hundred eighty million, six hundred eighteen thousand, two hundred forty".