86585258568 has 256 divisors, whose sum is σ = 248807116800. Its totient is φ = 24940154880.

The previous prime is 86585258533. The next prime is 86585258569.

86585258568 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86585258499 and 86585258508.

It is not an unprimeable number, because it can be changed into a prime (86585258569) 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 63 ways as a sum of consecutive naturals, for example, 38983698 + ... + 38985918.

It is an arithmetic number, because the mean of its divisors is an integer number (971902800).

Almost surely, 2^86585258568 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 86585258568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124403558400).

86585258568 is an abundant number, since it is smaller than the sum of its proper divisors (162221858232).

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

86585258568 is a wasteful number, since it uses less digits than its factorization.

86585258568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2416 counting only the distinct ones).

The product of its digits is 184320000, while the sum is 66.

The spelling of 86585258568 in words is "eighty-six billion, five hundred eighty-five million, two hundred fifty-eight thousand, five hundred sixty-eight".