86979526347168 has 720 divisors, whose sum is σ = 339308816067144. Its totient is φ = 21590256844800.

The previous prime is 86979526347163. The next prime is 86979526347179. The reversal of 86979526347168 is 86174362597968.

86979526347168 is a `hidden beast` number, since 8 + 6 + 9 + 7 + 95 + 26 + 347 + 168 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56352466621584 + 30627059725584 = 7506828^2 + 5534172^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (86979526347163) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26519368 + ... + 29618168.

Almost surely, 2^{86979526347168} 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 86979526347168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169654408033572).

86979526347168 is an abundant number, since it is smaller than the sum of its proper divisors (252329289719976).

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

86979526347168 is a wasteful number, since it uses less digits than its factorization.

86979526347168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098867 (or 3098843 counting only the distinct ones).

The product of its digits is 6584094720, while the sum is 81.

The spelling of 86979526347168 in words is "eighty-six trillion, nine hundred seventy-nine billion, five hundred twenty-six million, three hundred forty-seven thousand, one hundred sixty-eight".