9985909160 has 64 divisors (see below), whose sum is σ = 23037814800. Its totient is φ = 3893299200.

The previous prime is 9985909159. The next prime is 9985909163. The reversal of 9985909160 is 619095899.

It can be written as a sum of positive squares in 8 ways, for example, as 2061704836 + 7924204324 = 45406^2 + 89018^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9985909096 and 9985909105.

It is not an unprimeable number, because it can be changed into a prime (9985909163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2341430 + ... + 2345690.

Almost surely, 2^9985909160 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 9985909160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11518907400).

9985909160 is an abundant number, since it is smaller than the sum of its proper divisors (13051905640).

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

9985909160 is a wasteful number, since it uses less digits than its factorization.

9985909160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742 (or 5738 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 56.

The square root of 9985909160 is about 99929.5209635271. The cubic root of 9985909160 is about 2153.4222878794.

The spelling of 9985909160 in words is "nine billion, nine hundred eighty-five million, nine hundred nine thousand, one hundred sixty".