86562817090267 has 24 divisors (see below), whose sum is σ = 106000582284240. Its totient is φ = 70288098753600.

The previous prime is 86562817090261. The next prime is 86562817090289. The reversal of 86562817090267 is 76209071826568.

It is a de Polignac number, because none of the positive numbers 2^k-86562817090267 is a prime.

It is a super-2 number, since 2×86562817090267² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86562817090261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16401253 + ... + 21026809.

It is an arithmetic number, because the mean of its divisors is an integer number (4416690928510).

Almost surely, 2^{86562817090267} is an apocalyptic number.

86562817090267 is a deficient number, since it is larger than the sum of its proper divisors (19437765193973).

86562817090267 is a wasteful number, since it uses less digits than its factorization.

86562817090267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4645691 (or 4645684 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 67.

The spelling of 86562817090267 in words is "eighty-six trillion, five hundred sixty-two billion, eight hundred seventeen million, ninety thousand, two hundred sixty-seven".