9881164800 has 396 divisors, whose sum is σ = 38112274200. Its totient is φ = 2431549440.

The previous prime is 9881164793. The next prime is 9881164801. The reversal of 9881164800 is 84611889.

9881164800 is a `hidden beast` number, since 98 + 81 + 1 + 6 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9881164801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2993551 + ... + 2996849.

Almost surely, 2^9881164800 is an apocalyptic number.

9881164800 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 9881164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19056137100).

9881164800 is an abundant number, since it is smaller than the sum of its proper divisors (28231109400).

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

9881164800 is a wasteful number, since it uses less digits than its factorization.

9881164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 9881164800 is about 99404.0482073039. The cubic root of 9881164800 is about 2145.8665708198.

The spelling of 9881164800 in words is "nine billion, eight hundred eighty-one million, one hundred sixty-four thousand, eight hundred".