9980209800 has 768 divisors, whose sum is σ = 40711680000. Its totient is φ = 2220825600.

The previous prime is 9980209777. The next prime is 9980209847. The reversal of 9980209800 is 89020899.

9980209800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 99901²-1.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41758081 + ... + 41758319.

It is an arithmetic number, because the mean of its divisors is an integer number (53010000).

Almost surely, 2^9980209800 is an apocalyptic number.

9980209800 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 9980209800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20355840000).

9980209800 is an abundant number, since it is smaller than the sum of its proper divisors (30731470200).

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

9980209800 is a wasteful number, since it uses less digits than its factorization.

9980209800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 316 counting only the distinct ones).

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

The square root of 9980209800 is about 99900.9999949950. Note that the first 5 decimals coincide. The cubic root of 9980209800 is about 2153.0125283433.

The spelling of 9980209800 in words is "nine billion, nine hundred eighty million, two hundred nine thousand, eight hundred".