9980513920 has 128 divisors (see below), whose sum is σ = 26242755840. Its totient is φ = 3606564864.

The previous prime is 9980513911. The next prime is 9980513957. The reversal of 9980513920 is 293150899.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×9980513920² (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 378279 + ... + 403801.

It is an arithmetic number, because the mean of its divisors is an integer number (205021530).

Almost surely, 2^9980513920 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 9980513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13121377920).

9980513920 is an abundant number, since it is smaller than the sum of its proper divisors (16262241920).

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

9980513920 is a wasteful number, since it uses less digits than its factorization.

9980513920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25602 (or 25590 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 46.

The square root of 9980513920 is about 99902.5220902856. The cubic root of 9980513920 is about 2153.0343972062.

The spelling of 9980513920 in words is "nine billion, nine hundred eighty million, five hundred thirteen thousand, nine hundred twenty".