9986860800 has 1296 divisors, whose sum is σ = 45549084672. Its totient is φ = 2034892800.

The previous prime is 9986860789. The next prime is 9986860813. The reversal of 9986860800 is 80686899.

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, 212486377 + ... + 212486423.

Almost surely, 2^9986860800 is an apocalyptic number.

9986860800 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 9986860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22774542336).

9986860800 is an abundant number, since it is smaller than the sum of its proper divisors (35562223872).

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

9986860800 is a wasteful number, since it uses less digits than its factorization.

9986860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 9986860800 is about 99934.2824059892. The cubic root of 9986860800 is about 2153.4906915223.

The spelling of 9986860800 in words is "nine billion, nine hundred eighty-six million, eight hundred sixty thousand, eight hundred".