8909505000 has 480 divisors, whose sum is σ = 33772939200. Its totient is φ = 2102400000.

The previous prime is 8909504987. The next prime is 8909505043. The reversal of 8909505000 is 5059098.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20294781 + ... + 20295219.

It is an arithmetic number, because the mean of its divisors is an integer number (70360290).

Almost surely, 2^8909505000 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 8909505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16886469600).

8909505000 is an abundant number, since it is smaller than the sum of its proper divisors (24863434200).

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

8909505000 is a wasteful number, since it uses less digits than its factorization.

8909505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 8909505000 is about 94390.1742767752. The cubic root of 8909505000 is about 2073.0885770522.

The spelling of 8909505000 in words is "eight billion, nine hundred nine million, five hundred five thousand".