90959731444800 has 336 divisors, whose sum is σ = 331642773563520. Its totient is φ = 24251476101120.

The previous prime is 90959731444693. The next prime is 90959731444817. The reversal of 90959731444800 is 844413795909.

90959731444800 is a `hidden beast` number, since 9 + 0 + 9 + 5 + 9 + 7 + 3 + 144 + 480 + 0 = 666.

90959731444800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238575922 + ... + 238956878.

Almost surely, 2^{90959731444800} is an apocalyptic number.

90959731444800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90959731444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165821386781760).

90959731444800 is an abundant number, since it is smaller than the sum of its proper divisors (240683042118720).

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

90959731444800 is a wasteful number, since it uses less digits than its factorization.

90959731444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386515 (or 386494 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 90959731444800 in words is "ninety trillion, nine hundred fifty-nine billion, seven hundred thirty-one million, four hundred forty-four thousand, eight hundred".