86585458568 has 64 divisors (see below), whose sum is σ = 189635886720. Its totient is φ = 36297792000.

The previous prime is 86585458529. The next prime is 86585458613.

86585458568 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×86585458568³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 86585458498 and 86585458507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377228 + ... + 561668.

It is an arithmetic number, because the mean of its divisors is an integer number (2963060730).

Almost surely, 2^86585458568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86585458568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94817943360).

86585458568 is an abundant number, since it is smaller than the sum of its proper divisors (103050428152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86585458568 is a wasteful number, since it uses less digits than its factorization.

86585458568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184638 (or 184634 counting only the distinct ones).

The product of its digits is 368640000, while the sum is 68.

The spelling of 86585458568 in words is "eighty-six billion, five hundred eighty-five million, four hundred fifty-eight thousand, five hundred sixty-eight".