86579697568 has 96 divisors (see below), whose sum is σ = 211714715520. Its totient is φ = 33936952320.

The previous prime is 86579697509. The next prime is 86579697569.

86579697568 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×86579697568³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 86579697494 and 86579697503.

It is not an unprimeable number, because it can be changed into a prime (86579697569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181023 + ... + 453793.

It is an arithmetic number, because the mean of its divisors is an integer number (2205361620).

Almost surely, 2^86579697568 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 86579697568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105857357760).

86579697568 is an abundant number, since it is smaller than the sum of its proper divisors (125135017952).

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

86579697568 is a wasteful number, since it uses less digits than its factorization.

86579697568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272910 (or 272902 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 76.

The spelling of 86579697568 in words is "eighty-six billion, five hundred seventy-nine million, six hundred ninety-seven thousand, five hundred sixty-eight".