90986689600 has 63 divisors (see below), whose sum is σ = 223913815951. Its totient is φ = 36389849600.

The previous prime is 90986689597. The next prime is 90986689601. The reversal of 90986689600 is 698668909.

The square root of 90986689600 is 301640.

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 27627758656 + 63358930944 = 166216^2 + 251712^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90986689601) by changing a digit.

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, 12061830 + ... + 12069370.

Almost surely, 2^90986689600 is an apocalyptic number.

90986689600 is the 301640-th square number.

It is an amenable number.

90986689600 is an abundant number, since it is smaller than the sum of its proper divisors (132927126351).

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

90986689600 is an frugal number, since it uses more digits than its factorization.

90986689600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15104 (or 7548 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 61.

The spelling of 90986689600 in words is "ninety billion, nine hundred eighty-six million, six hundred eighty-nine thousand, six hundred".