86858181684864 has 512 divisors, whose sum is σ = 282394637107200. Its totient is φ = 26162893209600.

The previous prime is 86858181684851. The next prime is 86858181684871. The reversal of 86858181684864 is 46848618185868.

86858181684864 is a `hidden beast` number, since 8 + 6 + 8 + 58 + 1 + 81 + 6 + 8 + 486 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231118869 + ... + 231494379.

It is an arithmetic number, because the mean of its divisors is an integer number (551552025600).

Almost surely, 2^{86858181684864} 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 86858181684864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141197318553600).

86858181684864 is an abundant number, since it is smaller than the sum of its proper divisors (195536455422336).

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

86858181684864 is a wasteful number, since it uses less digits than its factorization.

86858181684864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375709 (or 375691 counting only the distinct ones).

The product of its digits is 4529848320, while the sum is 81.

The spelling of 86858181684864 in words is "eighty-six trillion, eight hundred fifty-eight billion, one hundred eighty-one million, six hundred eighty-four thousand, eight hundred sixty-four".