9868588800 has 432 divisors, whose sum is σ = 37641257472. Its totient is φ = 2230272000.

The previous prime is 9868588787. The next prime is 9868588853. The reversal of 9868588800 is 88858689.

It is a super-3 number, since 3×9868588800³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13574037 + ... + 13574763.

Almost surely, 2^9868588800 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 9868588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18820628736).

9868588800 is an abundant number, since it is smaller than the sum of its proper divisors (27772668672).

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

9868588800 is a wasteful number, since it uses less digits than its factorization.

9868588800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 60.

The square root of 9868588800 is about 99340.7710861960. The cubic root of 9868588800 is about 2144.9558187171.

The spelling of 9868588800 in words is "nine billion, eight hundred sixty-eight million, five hundred eighty-eight thousand, eight hundred".