90050906400 has 1296 divisors, whose sum is σ = 387226090944. Its totient is φ = 18081423360.

The previous prime is 90050906383. The next prime is 90050906447. The reversal of 90050906400 is 460905009.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 457111102 + ... + 457111298.

It is an arithmetic number, because the mean of its divisors is an integer number (298785564).

Almost surely, 2^90050906400 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 90050906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193613045472).

90050906400 is an abundant number, since it is smaller than the sum of its proper divisors (297175184544).

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

90050906400 is a wasteful number, since it uses less digits than its factorization.

90050906400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 90050906400 in words is "ninety billion, fifty million, nine hundred six thousand, four hundred".