56611655611665 has 64 divisors (see below), whose sum is σ = 113553143488512. Its totient is φ = 23396938732800.

The previous prime is 56611655611663. The next prime is 56611655611703.

It is a happy number.

56611655611665 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56611655611665 - 2¹ = 56611655611663 is a prime.

It is a super-2 number, since 2×56611655611665² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56611655611599 and 56611655611608.

It is not an unprimeable number, because it can be changed into a prime (56611655611661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135189897 + ... + 135608006.

It is an arithmetic number, because the mean of its divisors is an integer number (1774267867008).

Almost surely, 2^{56611655611665} is an apocalyptic number.

56611655611665 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56611655611665 is an abundant number, since it is smaller than the sum of its proper divisors (56941487876847).

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

56611655611665 is a wasteful number, since it uses less digits than its factorization.

56611655611665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270798110.

The product of its digits is 29160000, while the sum is 60.

The spelling of 56611655611665 in words is "fifty-six trillion, six hundred eleven billion, six hundred fifty-five million, six hundred eleven thousand, six hundred sixty-five".