56666677788 has 576 divisors, whose sum is σ = 187413811200. Its totient is φ = 14722767360.

The previous prime is 56666677709. The next prime is 56666677877. The reversal of 56666677788 is 88777666665.

It is a super-2 number, since 2×56666677788² (a number of 22 digits) contains 22 as substring.

Its product of digits (853493760) is a multiple of the sum of its prime divisors (392).

It is a plaindrome in base 10.

It is a congruent number.

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, 204572706 + ... + 204572982.

It is an arithmetic number, because the mean of its divisors is an integer number (325371200).

Almost surely, 2^56666677788 is an apocalyptic number.

56666677788 is a gapful number since it is divisible by the number (58) 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 56666677788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93706905600).

56666677788 is an abundant number, since it is smaller than the sum of its proper divisors (130747133412).

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

56666677788 is a wasteful number, since it uses less digits than its factorization.

56666677788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 392 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 72.

The spelling of 56666677788 in words is "fifty-six billion, six hundred sixty-six million, six hundred seventy-seven thousand, seven hundred eighty-eight".