9988128160 has 36 divisors (see below), whose sum is σ = 23599939734. Its totient is φ = 3994745600.

The previous prime is 9988128083. The next prime is 9988128169. The reversal of 9988128160 is 618218899.

9988128160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 9267527824 + 720600336 = 96268^2 + 26844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9988128098 and 9988128107.

It is not an unprimeable number, because it can be changed into a prime (9988128169) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1260210 + ... + 1268110.

Almost surely, 2^9988128160 is an apocalyptic number.

It is an amenable number.

9988128160 is an abundant number, since it is smaller than the sum of its proper divisors (13611811574).

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

9988128160 is an frugal number, since it uses more digits than its factorization.

9988128160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15817 (or 7908 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 52.

The square root of 9988128160 is about 99940.6231719615. The cubic root of 9988128160 is about 2153.5817822923.

The spelling of 9988128160 in words is "nine billion, nine hundred eighty-eight million, one hundred twenty-eight thousand, one hundred sixty".