9989953200 has 180 divisors, whose sum is σ = 34711550640. Its totient is φ = 2660636160.

The previous prime is 9989953163. The next prime is 9989953229. The reversal of 9989953200 is 23599899.

It is a tau number, because it is divible by the number of its divisors (180).

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, 4401666 + ... + 4403934.

It is an arithmetic number, because the mean of its divisors is an integer number (192841948).

Almost surely, 2^9989953200 is an apocalyptic number.

9989953200 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 9989953200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17355775320).

9989953200 is an abundant number, since it is smaller than the sum of its proper divisors (24721597440).

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

9989953200 is a wasteful number, since it uses less digits than its factorization.

9989953200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The square root of 9989953200 is about 99949.7533763841. The cubic root of 9989953200 is about 2153.7129424546.

The spelling of 9989953200 in words is "nine billion, nine hundred eighty-nine million, nine hundred fifty-three thousand, two hundred".