56125840680 has 768 divisors, whose sum is σ = 248209920000. Its totient is φ = 11143028736.

The previous prime is 56125840649. The next prime is 56125840703. The reversal of 56125840680 is 8604852165.

56125840680 is a `hidden beast` number, since 5 + 6 + 1 + 2 + 584 + 0 + 68 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11692921 + ... + 11697719.

It is an arithmetic number, because the mean of its divisors is an integer number (323190000).

Almost surely, 2^56125840680 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 56125840680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124104960000).

56125840680 is an abundant number, since it is smaller than the sum of its proper divisors (192084079320).

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

56125840680 is a wasteful number, since it uses less digits than its factorization.

56125840680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4863 (or 4846 counting only the distinct ones).

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

The spelling of 56125840680 in words is "fifty-six billion, one hundred twenty-five million, eight hundred forty thousand, six hundred eighty".