90199921280 has 576 divisors, whose sum is σ = 269151339240. Its totient is φ = 28798156800.

The previous prime is 90199921193. The next prime is 90199921297. The reversal of 90199921280 is 8212999109.

It can be written as a sum of positive squares in 4 ways, for example, as 51718037056 + 38481884224 = 227416^2 + 196168^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1235615324 + ... + 1235615396.

Almost surely, 2^90199921280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90199921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134575669620).

90199921280 is an abundant number, since it is smaller than the sum of its proper divisors (178951417960).

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

90199921280 is a wasteful number, since it uses less digits than its factorization.

90199921280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 50.

The spelling of 90199921280 in words is "ninety billion, one hundred ninety-nine million, nine hundred twenty-one thousand, two hundred eighty".