90944809120 has 192 divisors, whose sum is σ = 242818974720. Its totient is φ = 31889203200.

The previous prime is 90944809097. The next prime is 90944809141. The reversal of 90944809120 is 2190844909.

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 31 ways as a sum of consecutive naturals, for example, 15983236 + ... + 15988924.

It is an arithmetic number, because the mean of its divisors is an integer number (1264682160).

Almost surely, 2^90944809120 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 90944809120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121409487360).

90944809120 is an abundant number, since it is smaller than the sum of its proper divisors (151874165600).

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

90944809120 is a wasteful number, since it uses less digits than its factorization.

90944809120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6039 (or 6031 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 90944809120 in words is "ninety billion, nine hundred forty-four million, eight hundred nine thousand, one hundred twenty".