86533216317 has 24 divisors (see below), whose sum is σ = 125721336000. Its totient is φ = 57352857408.

The previous prime is 86533216307. The next prime is 86533216327. The reversal of 86533216317 is 71361233568.

86533216317 is a `hidden beast` number, since 8 + 6 + 5 + 3 + 3 + 2 + 1 + 631 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (86533216307) and next prime (86533216327).

It is not a de Polignac number, because 86533216317 - 2²⁰ = 86532167741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86533216307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2289858 + ... + 2327340.

It is an arithmetic number, because the mean of its divisors is an integer number (5238389000).

Almost surely, 2^86533216317 is an apocalyptic number.

It is an amenable number.

86533216317 is a deficient number, since it is larger than the sum of its proper divisors (39188119683).

86533216317 is a wasteful number, since it uses less digits than its factorization.

86533216317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38977 (or 38974 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 86533216317 in words is "eighty-six billion, five hundred thirty-three million, two hundred sixteen thousand, three hundred seventeen".