2116560656112 has 80 divisors (see below), whose sum is σ = 6253946245632. Its totient is φ = 604242627840.

The previous prime is 2116560656099. The next prime is 2116560656113.

2116560656112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2116560656112² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116560656113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2130564 + ... + 2961827.

Almost surely, 2^{2116560656112} is an apocalyptic number.

It is an amenable number.

2116560656112 is an abundant number, since it is smaller than the sum of its proper divisors (4137385589520).

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

2116560656112 is a wasteful number, since it uses less digits than its factorization.

2116560656112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5093646 (or 5093640 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 2116560656112 in words is "two trillion, one hundred sixteen billion, five hundred sixty million, six hundred fifty-six thousand, one hundred twelve".