86712580900 has 81 divisors (see below), whose sum is σ = 206904711027. Its totient is φ = 31520068800.

The previous prime is 86712580897. The next prime is 86712580919. The reversal of 86712580900 is 908521768.

The square root of 86712580900 is 294470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 43800629796 + 42911951104 = 209286^2 + 207152^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32390362 + ... + 32393038.

Almost surely, 2^86712580900 is an apocalyptic number.

86712580900 is the 294470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86712580900

86712580900 is an abundant number, since it is smaller than the sum of its proper divisors (120192130127).

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

86712580900 is a wasteful number, since it uses less digits than its factorization.

86712580900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5390 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 86712580900 in words is "eighty-six billion, seven hundred twelve million, five hundred eighty thousand, nine hundred".