86579009600 has 84 divisors (see below), whose sum is σ = 214109808000. Its totient is φ = 34457448960.

The previous prime is 86579009599. The next prime is 86579009603. The reversal of 86579009600 is 690097568.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (86579009603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182441 + ... + 454359.

Almost surely, 2^86579009600 is an apocalyptic number.

86579009600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86579009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107054904000).

86579009600 is an abundant number, since it is smaller than the sum of its proper divisors (127530798400).

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

86579009600 is a wasteful number, since it uses less digits than its factorization.

86579009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272140 (or 272125 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 50.

The spelling of 86579009600 in words is "eighty-six billion, five hundred seventy-nine million, nine thousand, six hundred".