9981808200 has 1152 divisors, whose sum is σ = 44662974720. Its totient is φ = 2015539200.

The previous prime is 9981808153. The next prime is 9981808211. The reversal of 9981808200 is 28081899.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 163636170 + ... + 163636230.

Almost surely, 2^9981808200 is an apocalyptic number.

9981808200 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 9981808200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22331487360).

9981808200 is an abundant number, since it is smaller than the sum of its proper divisors (34681166520).

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

9981808200 is a wasteful number, since it uses less digits than its factorization.

9981808200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 9981808200 is about 99908.9995946311. Note that the first 3 decimals coincide. The cubic root of 9981808200 is about 2153.1274621837.

The spelling of 9981808200 in words is "nine billion, nine hundred eighty-one million, eight hundred eight thousand, two hundred".