86589123700608 has 1280 divisors, whose sum is σ = 283200914304000. Its totient is φ = 26170298449920.

The previous prime is 86589123700579. The next prime is 86589123700619. The reversal of 86589123700608 is 80600732198568.

86589123700608 is a `hidden beast` number, since 8 + 6 + 5 + 8 + 9 + 12 + 3 + 7 + 0 + 0 + 608 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 160053832818 + ... + 160053833358.

It is an arithmetic number, because the mean of its divisors is an integer number (221250714300).

Almost surely, 2^{86589123700608} 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 86589123700608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141600457152000).

86589123700608 is an abundant number, since it is smaller than the sum of its proper divisors (196611790603392).

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

86589123700608 is a wasteful number, since it uses less digits than its factorization.

86589123700608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 86589123700608 in words is "eighty-six trillion, five hundred eighty-nine billion, one hundred twenty-three million, seven hundred thousand, six hundred eight".