90049324792000 has 896 divisors, whose sum is σ = 268946024675328. Its totient is φ = 29227161600000.

The previous prime is 90049324791997. The next prime is 90049324792013. The reversal of 90049324792000 is 29742394009.

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 127 ways as a sum of consecutive naturals, for example, 10592787750 + ... + 10592796250.

It is an arithmetic number, because the mean of its divisors is an integer number (300162973968).

Almost surely, 2^{90049324792000} 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 90049324792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134473012337664).

90049324792000 is an abundant number, since it is smaller than the sum of its proper divisors (178896699883328).

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

90049324792000 is a wasteful number, since it uses less digits than its factorization.

90049324792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8714 (or 8694 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The spelling of 90049324792000 in words is "ninety trillion, forty-nine billion, three hundred twenty-four million, seven hundred ninety-two thousand".