90045128400 has 60 divisors (see below), whose sum is σ = 288444565152. Its totient is φ = 24012033920.

The previous prime is 90045128399. The next prime is 90045128401. The reversal of 90045128400 is 482154009.

It is an interprime number because it is at equal distance from previous prime (90045128399) and next prime (90045128401).

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90045128401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37517604 + ... + 37520003.

Almost surely, 2^90045128400 is an apocalyptic number.

It is an amenable number.

90045128400 is an abundant number, since it is smaller than the sum of its proper divisors (198399436752).

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

90045128400 is a wasteful number, since it uses less digits than its factorization.

90045128400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75037628 (or 75037617 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 90045128400 in words is "ninety billion, forty-five million, one hundred twenty-eight thousand, four hundred".