90098546960 has 40 divisors (see below), whose sum is σ = 212913217176. Its totient is φ = 35448606720.

The previous prime is 90098546947. The next prime is 90098546977. The reversal of 90098546960 is 6964589009.

It can be written as a sum of positive squares in 4 ways, for example, as 6616846336 + 83481700624 = 81344^2 + 288932^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 90098546896 and 90098546905.

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 7 ways as a sum of consecutive naturals, for example, 9226529 + ... + 9236288.

Almost surely, 2^90098546960 is an apocalyptic number.

It is an amenable number.

90098546960 is an abundant number, since it is smaller than the sum of its proper divisors (122814670216).

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

90098546960 is a wasteful number, since it uses less digits than its factorization.

90098546960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18462891 (or 18462885 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 56.

The spelling of 90098546960 in words is "ninety billion, ninety-eight million, five hundred forty-six thousand, nine hundred sixty".