86124640900 has 27 divisors (see below), whose sum is σ = 186896839269. Its totient is φ = 34448682480.

The previous prime is 86124640883. The next prime is 86124640919. The reversal of 86124640900 is 904642168.

The square root of 86124640900 is 293470.

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

It can be written as a sum of positive squares in only one way, i.e., 31004870724 + 55119770176 = 176082^2 + 234776^2 .

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 8 ways as a sum of consecutive naturals, for example, 2920027 + ... + 2949373.

Almost surely, 2^86124640900 is an apocalyptic number.

86124640900 is the 293470-th square number.

It is an amenable number.

86124640900 is an abundant number, since it is smaller than the sum of its proper divisors (100772198369).

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

86124640900 is an frugal number, since it uses more digits than its factorization.

86124640900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58708 (or 29354 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 86124640900 in words is "eighty-six billion, one hundred twenty-four million, six hundred forty thousand, nine hundred".