9899279611200 has 1344 divisors, whose sum is σ = 42836626137600. Its totient is φ = 2176583270400.

The previous prime is 9899279611183. The next prime is 9899279611219. The reversal of 9899279611200 is 21169729989.

9899279611200 is a `hidden beast` number, since 9 + 8 + 9 + 9 + 2 + 7 + 9 + 611 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 995798230 + ... + 995808170.

Almost surely, 2^{9899279611200} is an apocalyptic number.

9899279611200 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 9899279611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21418313068800).

9899279611200 is an abundant number, since it is smaller than the sum of its proper divisors (32937346526400).

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

9899279611200 is a wasteful number, since it uses less digits than its factorization.

9899279611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10105 (or 10084 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 63.

The spelling of 9899279611200 in words is "nine trillion, eight hundred ninety-nine billion, two hundred seventy-nine million, six hundred eleven thousand, two hundred".