86585079199617 has 20 divisors (see below), whose sum is σ = 129343989295620. Its totient is φ = 57723008448384.

The previous prime is 86585079199561. The next prime is 86585079199721. The reversal of 86585079199617 is 71699197058568.

86585079199617 is a `hidden beast` number, since 8 + 6 + 5 + 8 + 507 + 9 + 1 + 9 + 96 + 17 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19349080740081 + 67235998459536 = 4398759^2 + 8199756^2 .

It is not a de Polignac number, because 86585079199617 - 2¹² = 86585079195521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (86585079199217) 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, 9243733 + ... + 16081565.

It is an arithmetic number, because the mean of its divisors is an integer number (6467199464781).

Almost surely, 2^{86585079199617} is an apocalyptic number.

It is an amenable number.

86585079199617 is a deficient number, since it is larger than the sum of its proper divisors (42758910096003).

86585079199617 is a wasteful number, since it uses less digits than its factorization.

86585079199617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6994174 (or 6994165 counting only the distinct ones).

The product of its (nonzero) digits is 2057529600, while the sum is 81.

The spelling of 86585079199617 in words is "eighty-six trillion, five hundred eighty-five billion, seventy-nine million, one hundred ninety-nine thousand, six hundred seventeen".