86128820398656 has 252 divisors, whose sum is σ = 287329707678780. Its totient is φ = 24595274188800.

The previous prime is 86128820398637. The next prime is 86128820398667. The reversal of 86128820398656 is 65689302882168.

86128820398656 is a `hidden beast` number, since 8 + 6 + 1 + 288 + 203 + 98 + 6 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21406537958400 + 64722282440256 = 4626720^2 + 8045016^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52851190 + ... + 54456458.

Almost surely, 2^{86128820398656} 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 86128820398656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143664853839390).

86128820398656 is an abundant number, since it is smaller than the sum of its proper divisors (201200887280124).

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

86128820398656 is a wasteful number, since it uses less digits than its factorization.

86128820398656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607202 (or 1607182 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 86128820398656 in words is "eighty-six trillion, one hundred twenty-eight billion, eight hundred twenty million, three hundred ninety-eight thousand, six hundred fifty-six".