86060089600 has 243 divisors, whose sum is σ = 225984268503. Its totient is φ = 32443269120.

The previous prime is 86060089597. The next prime is 86060089637. The reversal of 86060089600 is 698006068.

The square root of 86060089600 is 293360.

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 13841051904 + 72219037696 = 117648^2 + 268736^2 .

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, 445907104 + ... + 445907296.

Almost surely, 2^86060089600 is an apocalyptic number.

86060089600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86060089600 is the 293360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86060089600

86060089600 is an abundant number, since it is smaller than the sum of its proper divisors (139924178903).

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

86060089600 is an equidigital number, since it uses as much as digits as its factorization.

86060089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 86060089600 in words is "eighty-six billion, sixty million, eighty-nine thousand, six hundred".