9963157120 has 256 divisors, whose sum is σ = 27896037120. Its totient is φ = 3332505600.

The previous prime is 9963157093. The next prime is 9963157151. The reversal of 9963157120 is 217513699.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43890447 + ... + 43890673.

It is an arithmetic number, because the mean of its divisors is an integer number (108968895).

Almost surely, 2^9963157120 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 9963157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13948018560).

9963157120 is an abundant number, since it is smaller than the sum of its proper divisors (17932880000).

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

9963157120 is a wasteful number, since it uses less digits than its factorization.

9963157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 43.

The square root of 9963157120 is about 99815.6156119873. The cubic root of 9963157120 is about 2151.7855813785.

The spelling of 9963157120 in words is "nine billion, nine hundred sixty-three million, one hundred fifty-seven thousand, one hundred twenty".