90885198960 has 160 divisors (see below), whose sum is σ = 313653764160. Its totient is φ = 24189235200.

The previous prime is 90885198923. The next prime is 90885198967. The reversal of 90885198960 is 6989158809.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90885198967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1084980 + ... + 1165740.

It is an arithmetic number, because the mean of its divisors is an integer number (1960336026).

Almost surely, 2^90885198960 is an apocalyptic number.

90885198960 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 90885198960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156826882080).

90885198960 is an abundant number, since it is smaller than the sum of its proper divisors (222768565200).

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

90885198960 is a wasteful number, since it uses less digits than its factorization.

90885198960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81304 (or 81292 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 63.

The spelling of 90885198960 in words is "ninety billion, eight hundred eighty-five million, one hundred ninety-eight thousand, nine hundred sixty".