9855331200 has 576 divisors, whose sum is σ = 41331260880. Its totient is φ = 2204467200.

The previous prime is 9855331183. The next prime is 9855331219. The reversal of 9855331200 is 21335589.

9855331200 is a `hidden beast` number, since 98 + 553 + 3 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4117204 + ... + 4119596.

Almost surely, 2^9855331200 is an apocalyptic number.

9855331200 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 9855331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20665630440).

9855331200 is an abundant number, since it is smaller than the sum of its proper divisors (31475929680).

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

9855331200 is a wasteful number, since it uses less digits than its factorization.

9855331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 9855331200 is about 99274.0207707938. The cubic root of 9855331200 is about 2143.9948670702.

Adding to 9855331200 its reverse (21335589), we get a palindrome (9876666789).

The spelling of 9855331200 in words is "nine billion, eight hundred fifty-five million, three hundred thirty-one thousand, two hundred".