11677555577611 has 32 divisors (see below), whose sum is σ = 14575770671616. Its totient is φ = 9088934400000.

The previous prime is 11677555577563. The next prime is 11677555577641.

11677555577611 is nontrivially palindromic in base 10.

11677555577611 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11677555577611 - 2¹¹ = 11677555575563 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11677555577641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 729793611 + ... + 729809611.

It is an arithmetic number, because the mean of its divisors is an integer number (455492833488).

Almost surely, 2^{11677555577611} is an apocalyptic number.

11677555577611 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11677555577611 is a deficient number, since it is larger than the sum of its proper divisors (2898215094005).

11677555577611 is a wasteful number, since it uses less digits than its factorization.

11677555577611 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26323.

The product of its digits is 54022500, while the sum is 64.

The spelling of 11677555577611 in words is "eleven trillion, six hundred seventy-seven billion, five hundred fifty-five million, five hundred seventy-seven thousand, six hundred eleven".