9085132800 has 672 divisors, whose sum is σ = 35104181760. Its totient is φ = 2300313600.

The previous prime is 9085132757. The next prime is 9085132817. The reversal of 9085132800 is 82315809.

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 47 ways as a sum of consecutive naturals, for example, 171417574 + ... + 171417626.

Almost surely, 2^9085132800 is an apocalyptic number.

9085132800 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 9085132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17552090880).

9085132800 is an abundant number, since it is smaller than the sum of its proper divisors (26019048960).

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

9085132800 is a wasteful number, since it uses less digits than its factorization.

9085132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 9085132800 is about 95315.9629862700. The cubic root of 9085132800 is about 2086.6218941740.

The spelling of 9085132800 in words is "nine billion, eighty-five million, one hundred thirty-two thousand, eight hundred".