86656637761 has 16 divisors (see below), whose sum is σ = 87434500096. Its totient is φ = 85883490000.

The previous prime is 86656637747. The next prime is 86656637831. The reversal of 86656637761 is 16773665668.

It is a 8-Lehmer number, since φ(86656637761) divides (86656637761-1)⁸.

It is a cyclic number.

It is not a de Polignac number, because 86656637761 - 2¹¹ = 86656635713 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 86656637761.

It is not an unprimeable number, because it can be changed into a prime (86656637701) 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, 56600566 + ... + 56602096.

It is an arithmetic number, because the mean of its divisors is an integer number (5464656256).

Almost surely, 2^86656637761 is an apocalyptic number.

86656637761 is the 131649-th centered decagonal number.

It is an amenable number.

86656637761 is a deficient number, since it is larger than the sum of its proper divisors (777862335).

86656637761 is a wasteful number, since it uses less digits than its factorization.

86656637761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764.

The product of its digits is 45722880, while the sum is 61.

The spelling of 86656637761 in words is "eighty-six billion, six hundred fifty-six million, six hundred thirty-seven thousand, seven hundred sixty-one".