86956261760691 has 20 divisors (see below), whose sum is σ = 129899105769312. Its totient is φ = 57970180599408.

The previous prime is 86956261760677. The next prime is 86956261760717. The reversal of 86956261760691 is 19606716265968.

86956261760691 is a `hidden beast` number, since 8 + 6 + 9 + 5 + 6 + 2 + 6 + 1 + 7 + 606 + 9 + 1 = 666.

It is not a de Polignac number, because 86956261760691 - 2⁵ = 86956261760659 is a prime.

It is a super-2 number, since 2×86956261760691² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (86956261660691) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1087926 + ... + 13232388.

Almost surely, 2^{86956261760691} is an apocalyptic number.

86956261760691 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

86956261760691 is a deficient number, since it is larger than the sum of its proper divisors (42942844008621).

86956261760691 is a wasteful number, since it uses less digits than its factorization.

86956261760691 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12232872 (or 12232863 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 86956261760691 in words is "eighty-six trillion, nine hundred fifty-six billion, two hundred sixty-one million, seven hundred sixty thousand, six hundred ninety-one".