56558696040 has 768 divisors, whose sum is σ = 250829913600. Its totient is φ = 11058094080.

The previous prime is 56558696039. The next prime is 56558696041. The reversal of 56558696040 is 4069685565.

56558696040 is a `hidden beast` number, since 56 + 5 + 586 + 9 + 6 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56558696039) and next prime (56558696041).

It is a super-2 number, since 2×56558696040² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (56558696041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15549102 + ... + 15552738.

It is an arithmetic number, because the mean of its divisors is an integer number (326601450).

Almost surely, 2^56558696040 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 56558696040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125414956800).

56558696040 is an abundant number, since it is smaller than the sum of its proper divisors (194271217560).

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

56558696040 is a wasteful number, since it uses less digits than its factorization.

56558696040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 56558696040 in words is "fifty-six billion, five hundred fifty-eight million, six hundred ninety-six thousand, forty".