11677627627666 has 32 divisors (see below), whose sum is σ = 23518578722688. Its totient is φ = 4199746199040.

The previous prime is 11677627627651. The next prime is 11677627627703. The reversal of 11677627627666 is 66672672677611.

11677627627666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11677627627666² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11677627627595 and 11677627627604.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2916488415 + ... + 2916492418.

It is an arithmetic number, because the mean of its divisors is an integer number (734955585084).

Almost surely, 2^{11677627627666} is an apocalyptic number.

11677627627666 is an abundant number, since it is smaller than the sum of its proper divisors (11840951095022).

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

11677627627666 is a wasteful number, since it uses less digits than its factorization.

11677627627666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5832980866.

The product of its digits is 448084224, while the sum is 70.

The spelling of 11677627627666 in words is "eleven trillion, six hundred seventy-seven billion, six hundred twenty-seven million, six hundred twenty-seven thousand, six hundred sixty-six".