86395336664 has 160 divisors (see below), whose sum is σ = 210099200640. Its totient is φ = 33072883200.

The previous prime is 86395336649. The next prime is 86395336723. The reversal of 86395336664 is 46663359368.

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 39 ways as a sum of consecutive naturals, for example, 7735244 + ... + 7746404.

It is an arithmetic number, because the mean of its divisors is an integer number (1313120004).

Almost surely, 2^86395336664 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 86395336664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105049600320).

86395336664 is an abundant number, since it is smaller than the sum of its proper divisors (123703863976).

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

86395336664 is a wasteful number, since it uses less digits than its factorization.

86395336664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11239 (or 11214 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 59.

The spelling of 86395336664 in words is "eighty-six billion, three hundred ninety-five million, three hundred thirty-six thousand, six hundred sixty-four".