9980019200 has 90 divisors (see below), whose sum is σ = 24754311549. Its totient is φ = 3987486720.

The previous prime is 9980019191. The next prime is 9980019227. The reversal of 9980019200 is 29100899.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 9780418816 + 199600384 = 98896^2 + 14128^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=70640.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11301959 + ... + 11302841.

Almost surely, 2^9980019200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9980019200

9980019200 is an abundant number, since it is smaller than the sum of its proper divisors (14774292349).

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

9980019200 is an frugal number, since it uses more digits than its factorization.

9980019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 38.

The square root of 9980019200 is about 99900.0460460354. The cubic root of 9980019200 is about 2152.9988223255.

The spelling of 9980019200 in words is "nine billion, nine hundred eighty million, nineteen thousand, two hundred".