86588359081 has 27 divisors (see below), whose sum is σ = 101832238557. Its totient is φ = 73411735320.

The previous prime is 86588359069. The next prime is 86588359139. The reversal of 86588359081 is 18095388568.

The square root of 86588359081 is 294259.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 86588359081 - 2⁷ = 86588358953 is a prime.

It is a super-2 number, since 2×86588359081² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86588359021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 261596086 + ... + 261596416.

It is an arithmetic number, because the mean of its divisors is an integer number (3771564391).

Almost surely, 2^86588359081 is an apocalyptic number.

86588359081 is the 294259-th square number.

86588359081 is the 147130-th centered octagonal number.

It is an amenable number.

86588359081 is a deficient number, since it is larger than the sum of its proper divisors (15243879476).

86588359081 is an frugal number, since it uses more digits than its factorization.

86588359081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 61.

The spelling of 86588359081 in words is "eighty-six billion, five hundred eighty-eight million, three hundred fifty-nine thousand, eighty-one".