86627131101 has 16 divisors (see below), whose sum is σ = 146670275200. Its totient is φ = 49501217664.

The previous prime is 86627131057. The next prime is 86627131109. The reversal of 86627131101 is 10113172668.

86627131101 is a `hidden beast` number, since 8 + 6 + 627 + 13 + 1 + 10 + 1 = 666.

It is not a de Polignac number, because 86627131101 - 2⁶ = 86627131037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86627131109) 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 15 ways as a sum of consecutive naturals, for example, 229172116 + ... + 229172493.

It is an arithmetic number, because the mean of its divisors is an integer number (9166892200).

Almost surely, 2^86627131101 is an apocalyptic number.

It is an amenable number.

86627131101 is a deficient number, since it is larger than the sum of its proper divisors (60043144099).

86627131101 is a wasteful number, since it uses less digits than its factorization.

86627131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458344625 (or 458344619 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 86627131101 in words is "eighty-six billion, six hundred twenty-seven million, one hundred thirty-one thousand, one hundred one".