9809982000 has 960 divisors, whose sum is σ = 43345725696. Its totient is φ = 2012774400.

The previous prime is 9809981999. The next prime is 9809982059. The reversal of 9809982000 is 2899089.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86813944 + ... + 86814056.

Almost surely, 2^9809982000 is an apocalyptic number.

9809982000 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 9809982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21672862848).

9809982000 is an abundant number, since it is smaller than the sum of its proper divisors (33535743696).

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

9809982000 is a wasteful number, since it uses less digits than its factorization.

9809982000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 9809982000 is about 99045.3532478935. The cubic root of 9809982000 is about 2140.7012870321.

The spelling of 9809982000 in words is "nine billion, eight hundred nine million, nine hundred eighty-two thousand".