90990182400 has 504 divisors, whose sum is σ = 327658872240. Its totient is φ = 22145925120.

The previous prime is 90990182359. The next prime is 90990182453. The reversal of 90990182400 is 428109909.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1022361556 + ... + 1022361644.

It is an arithmetic number, because the mean of its divisors is an integer number (650116810).

Almost surely, 2^90990182400 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 90990182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163829436120).

90990182400 is an abundant number, since it is smaller than the sum of its proper divisors (236668689840).

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

90990182400 is an frugal number, since it uses more digits than its factorization.

90990182400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 90990182400 in words is "ninety billion, nine hundred ninety million, one hundred eighty-two thousand, four hundred".