90750227904 has 672 divisors, whose sum is σ = 319527936000. Its totient is φ = 25003883520.

The previous prime is 90750227899. The next prime is 90750227929. The reversal of 90750227904 is 40972205709.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 90750227904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 456031197 + ... + 456031395.

It is an arithmetic number, because the mean of its divisors is an integer number (475488000).

Almost surely, 2^90750227904 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 90750227904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159763968000).

90750227904 is an abundant number, since it is smaller than the sum of its proper divisors (228777708096).

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

90750227904 is a wasteful number, since it uses less digits than its factorization.

90750227904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 341 counting only the distinct ones).

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

The spelling of 90750227904 in words is "ninety billion, seven hundred fifty million, two hundred twenty-seven thousand, nine hundred four".