9980160000 has 480 divisors, whose sum is σ = 35001046080. Its totient is φ = 2523136000.

The previous prime is 9980159947. The next prime is 9980160007. The reversal of 9980160000 is 610899.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (9980160007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88319944 + ... + 88320056.

It is an arithmetic number, because the mean of its divisors is an integer number (72918846).

Almost surely, 2^9980160000 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 9980160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17500523040).

9980160000 is an abundant number, since it is smaller than the sum of its proper divisors (25020886080).

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

9980160000 is a wasteful number, since it uses less digits than its factorization.

9980160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 9980160000 is about 99900.7507479298. The cubic root of 9980160000 is about 2153.0089472495.

Adding to 9980160000 its reverse (610899), we get a palindrome (9980770899).

The spelling of 9980160000 in words is "nine billion, nine hundred eighty million, one hundred sixty thousand".