9989884800 has 432 divisors, whose sum is σ = 41471843400. Its totient is φ = 2283079680.

The previous prime is 9989884789. The next prime is 9989884867. The reversal of 9989884800 is 84889899.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1407661 + ... + 1414739.

Almost surely, 2^9989884800 is an apocalyptic number.

9989884800 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 9989884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20735921700).

9989884800 is an abundant number, since it is smaller than the sum of its proper divisors (31481958600).

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

9989884800 is a wasteful number, since it uses less digits than its factorization.

With its successor (9989884801) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (7096).

9989884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7123 (or 7096 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The square root of 9989884800 is about 99949.4112038685. The cubic root of 9989884800 is about 2153.7080270395.

The spelling of 9989884800 in words is "nine billion, nine hundred eighty-nine million, eight hundred eighty-four thousand, eight hundred".