9901353720 has 256 divisors, whose sum is σ = 33393254400. Its totient is φ = 2336463360.

The previous prime is 9901353703. The next prime is 9901353757. The reversal of 9901353720 is 273531099.

9901353720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2252725 + ... + 2257115.

It is an arithmetic number, because the mean of its divisors is an integer number (130442400).

Almost surely, 2^9901353720 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 9901353720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16696627200).

9901353720 is an abundant number, since it is smaller than the sum of its proper divisors (23491900680).

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

9901353720 is a wasteful number, since it uses less digits than its factorization.

9901353720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 9901353720 is about 99505.5461770850. The cubic root of 9901353720 is about 2147.3270348301.

The spelling of 9901353720 in words is "nine billion, nine hundred one million, three hundred fifty-three thousand, seven hundred twenty".