86590083168 has 144 divisors (see below), whose sum is σ = 267085059696. Its totient is φ = 26502881280.

The previous prime is 86590083149. The next prime is 86590083241. The reversal of 86590083168 is 86138009568.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14946 + ... + 416417.

It is an arithmetic number, because the mean of its divisors is an integer number (1854757359).

Almost surely, 2^86590083168 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 86590083168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133542529848).

86590083168 is an abundant number, since it is smaller than the sum of its proper divisors (180494976528).

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

86590083168 is a wasteful number, since it uses less digits than its factorization.

86590083168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431437 (or 431426 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 86590083168 in words is "eighty-six billion, five hundred ninety million, eighty-three thousand, one hundred sixty-eight".