86081840680900 has 27 divisors (see below), whose sum is σ = 186797795611021. Its totient is φ = 34432699160240.

The previous prime is 86081840680897. The next prime is 86081840680919. The reversal of 86081840680900 is 908604818068.

The square root of 86081840680900 is 9278030.

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., 30989462645124 + 55092378035776 = 5566818^2 + 7422424^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 92316399 + ... + 93244201.

Almost surely, 2^{86081840680900} is an apocalyptic number.

86081840680900 is the 9278030-th square number.

It is an amenable number.

86081840680900 is an abundant number, since it is smaller than the sum of its proper divisors (100715954930121).

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

86081840680900 is an frugal number, since it uses more digits than its factorization.

86081840680900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855620 (or 927810 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 58.

The spelling of 86081840680900 in words is "eighty-six trillion, eighty-one billion, eight hundred forty million, six hundred eighty thousand, nine hundred".