86566802522688 has 672 divisors, whose sum is σ = 267485761720320. Its totient is φ = 26723899883520.

The previous prime is 86566802522687. The next prime is 86566802522701. The reversal of 86566802522688 is 88622520866568.

86566802522688 is a `hidden beast` number, since 8 + 6 + 56 + 68 + 0 + 252 + 268 + 8 = 666.

It is a super-2 number, since 2×86566802522688² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (86566802522687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6093242881 + ... + 6093257087.

Almost surely, 2^{86566802522688} 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 86566802522688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133742880860160).

86566802522688 is an abundant number, since it is smaller than the sum of its proper divisors (180918959197632).

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

86566802522688 is a wasteful number, since it uses less digits than its factorization.

86566802522688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14475 (or 14462 counting only the distinct ones).

The product of its (nonzero) digits is 1061683200, while the sum is 72.

The spelling of 86566802522688 in words is "eighty-six trillion, five hundred sixty-six billion, eight hundred two million, five hundred twenty-two thousand, six hundred eighty-eight".