90909190900 has 72 divisors (see below), whose sum is σ = 215367840576. Its totient is φ = 33033158400.

The previous prime is 90909190877. The next prime is 90909190903. The reversal of 90909190900 is 909190909.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90909190903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1473472 + ... + 1533928.

It is an arithmetic number, because the mean of its divisors is an integer number (2991220008).

Almost surely, 2^90909190900 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 90909190900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107683920288).

90909190900 is an abundant number, since it is smaller than the sum of its proper divisors (124458649676).

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

90909190900 is a wasteful number, since it uses less digits than its factorization.

90909190900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61849 (or 61842 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 46.

The spelling of 90909190900 in words is "ninety billion, nine hundred nine million, one hundred ninety thousand, nine hundred".