9899827200 has 504 divisors, whose sum is σ = 36603422856. Its totient is φ = 2555904000.

The previous prime is 9899827193. The next prime is 9899827211. The reversal of 9899827200 is 27289989.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75571135 + ... + 75571265.

It is an arithmetic number, because the mean of its divisors is an integer number (72625839).

Almost surely, 2^9899827200 is an apocalyptic number.

9899827200 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 9899827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18301711428).

9899827200 is an abundant number, since it is smaller than the sum of its proper divisors (26703595656).

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

9899827200 is a wasteful number, since it uses less digits than its factorization.

9899827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 9899827200 is about 99497.8753542004. The cubic root of 9899827200 is about 2147.2166759765.

The spelling of 9899827200 in words is "nine billion, eight hundred ninety-nine million, eight hundred twenty-seven thousand, two hundred".