86460056592100 has 81 divisors (see below), whose sum is σ = 192314470444411. Its totient is φ = 33739022147200.

The previous prime is 86460056592053. The next prime is 86460056592149. The reversal of 86460056592100 is 129565006468.

The square root of 86460056592100 is 9298390.

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 36392431672996 + 50067624919104 = 6032614^2 + 7075848^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3812328561 + ... + 3812351239.

Almost surely, 2^{86460056592100} is an apocalyptic number.

86460056592100 is the 9298390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86460056592100

86460056592100 is an abundant number, since it is smaller than the sum of its proper divisors (105854413852311).

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

86460056592100 is an frugal number, since it uses more digits than its factorization.

86460056592100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45454 (or 22727 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The spelling of 86460056592100 in words is "eighty-six trillion, four hundred sixty billion, fifty-six million, five hundred ninety-two thousand, one hundred".