86805401564 has 96 divisors (see below), whose sum is σ = 190207180800. Its totient is φ = 33803366400.

The previous prime is 86805401537. The next prime is 86805401611. The reversal of 86805401564 is 46510450868.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6353012 + ... + 6366660.

It is an arithmetic number, because the mean of its divisors is an integer number (1981324800).

Almost surely, 2^86805401564 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 86805401564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95103590400).

86805401564 is an abundant number, since it is smaller than the sum of its proper divisors (103401779236).

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

86805401564 is a wasteful number, since it uses less digits than its factorization.

86805401564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14139 (or 14137 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 47.

The spelling of 86805401564 in words is "eighty-six billion, eight hundred five million, four hundred one thousand, five hundred sixty-four".