9875013120 has 360 divisors, whose sum is σ = 39788160984. Its totient is φ = 2256887808.

The previous prime is 9875013059. The next prime is 9875013149. The reversal of 9875013120 is 213105789.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 1124587 + ... + 1133333.

Almost surely, 2^9875013120 is an apocalyptic number.

9875013120 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 9875013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19894080492).

9875013120 is an abundant number, since it is smaller than the sum of its proper divisors (29913147864).

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

9875013120 is a wasteful number, since it uses less digits than its factorization.

9875013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8790 (or 8764 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 9875013120 is about 99373.1005856213. The cubic root of 9875013120 is about 2145.4211636532.

The spelling of 9875013120 in words is "nine billion, eight hundred seventy-five million, thirteen thousand, one hundred twenty".