9980820000 has 600 divisors, whose sum is σ = 37650332412. Its totient is φ = 2592000000.

The previous prime is 9980819977. The next prime is 9980820007. The reversal of 9980820000 is 280899.

It can be written as a sum of positive squares in 10 ways, for example, as 831514896 + 9149305104 = 28836^2 + 95652^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9980820007) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 98819950 + ... + 98820050.

Almost surely, 2^9980820000 is an apocalyptic number.

9980820000 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 9980820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18825166206).

9980820000 is an abundant number, since it is smaller than the sum of its proper divisors (27669512412).

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

9980820000 is a wasteful number, since it uses less digits than its factorization.

9980820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 9980820000 is about 99904.0539717984. The cubic root of 9980820000 is about 2153.0564065616.

The spelling of 9980820000 in words is "nine billion, nine hundred eighty million, eight hundred twenty thousand".