56686111416 has 320 divisors, whose sum is σ = 177664687200. Its totient is φ = 16740172800.

The previous prime is 56686111411. The next prime is 56686111441. The reversal of 56686111416 is 61411168665.

56686111416 is a `hidden beast` number, since 5 + 6 + 6 + 8 + 611 + 14 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56686111411) 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 79 ways as a sum of consecutive naturals, for example, 68378490 + ... + 68379318.

Almost surely, 2^56686111416 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 56686111416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88832343600).

56686111416 is an abundant number, since it is smaller than the sum of its proper divisors (120978575784).

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

56686111416 is a wasteful number, since it uses less digits than its factorization.

56686111416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1079 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 56686111416 in words is "fifty-six billion, six hundred eighty-six million, one hundred eleven thousand, four hundred sixteen".