86084258517 has 16 divisors (see below), whose sum is σ = 127545190080. Its totient is φ = 57383675856.

The previous prime is 86084258479. The next prime is 86084258537. The reversal of 86084258517 is 71585248068.

86084258517 is a `hidden beast` number, since 8 + 6 + 0 + 8 + 42 + 585 + 17 = 666.

It is not a de Polignac number, because 86084258517 - 2¹⁵ = 86084225749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86084258537) 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, 117543 + ... + 431259.

It is an arithmetic number, because the mean of its divisors is an integer number (7971574380).

Almost surely, 2^86084258517 is an apocalyptic number.

It is an amenable number.

86084258517 is a deficient number, since it is larger than the sum of its proper divisors (41460931563).

86084258517 is a wasteful number, since it uses less digits than its factorization.

86084258517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323889 (or 323883 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 86084258517 in words is "eighty-six billion, eighty-four million, two hundred fifty-eight thousand, five hundred seventeen".