90943825128 has 128 divisors (see below), whose sum is σ = 257918169600. Its totient is φ = 26491159296.

The previous prime is 90943825123. The next prime is 90943825129. The reversal of 90943825128 is 82152834909.

It is not an unprimeable number, because it can be changed into a prime (90943825123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9877375 + ... + 9886577.

It is an arithmetic number, because the mean of its divisors is an integer number (2014985700).

Almost surely, 2^90943825128 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 90943825128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128959084800).

90943825128 is an abundant number, since it is smaller than the sum of its proper divisors (166974344472).

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

90943825128 is a wasteful number, since it uses less digits than its factorization.

90943825128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10911 (or 10907 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 90943825128 in words is "ninety billion, nine hundred forty-three million, eight hundred twenty-five thousand, one hundred twenty-eight".