90750227904000 has 3840 divisors, whose sum is σ = 401518301184000. Its totient is φ = 20003106816000.

The previous prime is 90750227903989. The next prime is 90750227904041. The reversal of 90750227904000 is 40972205709.

90750227904000 is a `hidden beast` number, since 90 + 7 + 50 + 2 + 27 + 90 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 456031295901 + ... + 456031296099.

It is an arithmetic number, because the mean of its divisors is an integer number (104562057600).

Almost surely, 2^{90750227904000} is an apocalyptic number.

90750227904000 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 90750227904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200759150592000).

90750227904000 is an abundant number, since it is smaller than the sum of its proper divisors (310768073280000).

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

90750227904000 is an equidigital number, since it uses as much as digits as its factorization.

90750227904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 90750227904000 in words is "ninety trillion, seven hundred fifty billion, two hundred twenty-seven million, nine hundred four thousand".