9887887200 has 144 divisors (see below), whose sum is σ = 32225812416. Its totient is φ = 2633433600.

The previous prime is 9887887199. The next prime is 9887887253. The reversal of 9887887200 is 27887889.

9887887200 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 23 ways as a sum of consecutive naturals, for example, 2328279 + ... + 2332521.

It is an arithmetic number, because the mean of its divisors is an integer number (223790364).

Almost surely, 2^9887887200 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 9887887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16112906208).

9887887200 is an abundant number, since it is smaller than the sum of its proper divisors (22337925216).

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

9887887200 is a wasteful number, since it uses less digits than its factorization.

9887887200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5237 (or 5224 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 57.

The square root of 9887887200 is about 99437.8559704502. The cubic root of 9887887200 is about 2146.3530891487.

The spelling of 9887887200 in words is "nine billion, eight hundred eighty-seven million, eight hundred eighty-seven thousand, two hundred".