9901182720 has 864 divisors, whose sum is σ = 39858981120. Its totient is φ = 2070282240.

The previous prime is 9901182703. The next prime is 9901182773. The reversal of 9901182720 is 272811099.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135632604 + ... + 135632676.

It is an arithmetic number, because the mean of its divisors is an integer number (46133080).

Almost surely, 2^9901182720 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 9901182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19929490560).

9901182720 is an abundant number, since it is smaller than the sum of its proper divisors (29957798400).

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

9901182720 is a wasteful number, since it uses less digits than its factorization.

9901182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 9901182720 is about 99504.6869247876. The cubic root of 9901182720 is about 2147.3146730512.

The spelling of 9901182720 in words is "nine billion, nine hundred one million, one hundred eighty-two thousand, seven hundred twenty".