9859893120 has 1152 divisors, whose sum is σ = 44696171520. Its totient is φ = 1958584320.

The previous prime is 9859893049. The next prime is 9859893149. The reversal of 9859893120 is 213989589.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 209784937 + ... + 209784983.

It is an arithmetic number, because the mean of its divisors is an integer number (38798760).

Almost surely, 2^9859893120 is an apocalyptic number.

9859893120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9859893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22348085760).

9859893120 is an abundant number, since it is smaller than the sum of its proper divisors (34836278400).

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

9859893120 is a wasteful number, since it uses less digits than its factorization.

9859893120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 9859893120 is about 99296.9945164505. The cubic root of 9859893120 is about 2144.3256262679.

The spelling of 9859893120 in words is "nine billion, eight hundred fifty-nine million, eight hundred ninety-three thousand, one hundred twenty".