56680122240 has 768 divisors, whose sum is σ = 233287741440. Its totient is φ = 12408422400.

The previous prime is 56680122227. The next prime is 56680122253. The reversal of 56680122240 is 4222108665.

It is a happy number.

56680122240 is a `hidden beast` number, since 566 + 80 + 12 + 2 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56680122227) and next prime (56680122253).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56680122195 and 56680122204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171238875 + ... + 171239205.

It is an arithmetic number, because the mean of its divisors is an integer number (303760080).

Almost surely, 2^56680122240 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 56680122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116643870720).

56680122240 is an abundant number, since it is smaller than the sum of its proper divisors (176607619200).

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

56680122240 is a wasteful number, since it uses less digits than its factorization.

56680122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 56680122240 in words is "fifty-six billion, six hundred eighty million, one hundred twenty-two thousand, two hundred forty".