11666955966611 has 48 divisors (see below), whose sum is σ = 13133495299680. Its totient is φ = 10354130688000.

The previous prime is 11666955966559. The next prime is 11666955966623.

11666955966611 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-11666955966611 is a prime.

It is a super-2 number, since 2×11666955966611² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11666955966641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318864260 + ... + 318900846.

It is an arithmetic number, because the mean of its divisors is an integer number (273614485410).

Almost surely, 2^{11666955966611} is an apocalyptic number.

11666955966611 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11666955966611 is a deficient number, since it is larger than the sum of its proper divisors (1466539333069).

11666955966611 is a wasteful number, since it uses less digits than its factorization.

11666955966611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37076 (or 37065 counting only the distinct ones).

The product of its digits is 94478400, while the sum is 68.

The spelling of 11666955966611 in words is "eleven trillion, six hundred sixty-six billion, nine hundred fifty-five million, nine hundred sixty-six thousand, six hundred eleven".