90128990582400 has 3072 divisors, whose sum is σ = 387738383155200. Its totient is φ = 17863217971200.

The previous prime is 90128990582387. The next prime is 90128990582401. The reversal of 90128990582400 is 428509982109.

90128990582400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (90128990582401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 335052009466 + ... + 335052009734.

It is an arithmetic number, because the mean of its divisors is an integer number (126216921600).

Almost surely, 2^{90128990582400} 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 90128990582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193869191577600).

90128990582400 is an abundant number, since it is smaller than the sum of its proper divisors (297609392572800).

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

90128990582400 is a wasteful number, since it uses less digits than its factorization.

90128990582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 57.

The spelling of 90128990582400 in words is "ninety trillion, one hundred twenty-eight billion, nine hundred ninety million, five hundred eighty-two thousand, four hundred".