9000115200 has 528 divisors, whose sum is σ = 34266780000. Its totient is φ = 2312110080.

The previous prime is 9000115193. The next prime is 9000115237. The reversal of 9000115200 is 25110009.

It is a super-2 number, since 2×9000115200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20044576 + ... + 20045024.

Almost surely, 2^9000115200 is an apocalyptic number.

9000115200 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 9000115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17133390000).

9000115200 is an abundant number, since it is smaller than the sum of its proper divisors (25266664800).

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

9000115200 is a wasteful number, since it uses less digits than its factorization.

9000115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 9000115200 is about 94868.9369604192. The cubic root of 9000115200 is about 2080.0926980383.

Adding to 9000115200 its reverse (25110009), we get a palindrome (9025225209).

The spelling of 9000115200 in words is "nine billion, one hundred fifteen thousand, two hundred".