86586356808 has 144 divisors (see below), whose sum is σ = 278300330880. Its totient is φ = 24738854112.

The previous prime is 86586356783. The next prime is 86586356851. The reversal of 86586356808 is 80865368568.

86586356808 is a `hidden beast` number, since 8 + 6 + 5 + 8 + 63 + 568 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 249585 + ... + 485247.

Almost surely, 2^86586356808 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 86586356808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139150165440).

86586356808 is an abundant number, since it is smaller than the sum of its proper divisors (191713974072).

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

86586356808 is an equidigital number, since it uses as much as digits as its factorization.

86586356808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235700 (or 235675 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 86586356808 in words is "eighty-six billion, five hundred eighty-six million, three hundred fifty-six thousand, eight hundred eight".