9825116160 has 224 divisors, whose sum is σ = 32303081952. Its totient is φ = 2548039680.

The previous prime is 9825116159. The next prime is 9825116183. The reversal of 9825116160 is 616115289.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4545480 + ... + 4547640.

Almost surely, 2^9825116160 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 9825116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16151540976).

9825116160 is an abundant number, since it is smaller than the sum of its proper divisors (22477965792).

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

9825116160 is a wasteful number, since it uses less digits than its factorization.

9825116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 9825116160 is about 99121.7239559523. The cubic root of 9825116160 is about 2141.8015632520.

It can be divided in two parts, 98251 and 16160, that added together give a palindrome (114411).

The spelling of 9825116160 in words is "nine billion, eight hundred twenty-five million, one hundred sixteen thousand, one hundred sixty".