9799118035200 has 864 divisors, whose sum is σ = 39186933542400. Its totient is φ = 2381514670080.

The previous prime is 9799118035151. The next prime is 9799118035241. The reversal of 9799118035200 is 25308119979.

9799118035200 is a `hidden beast` number, since 97 + 99 + 118 + 0 + 352 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 177437992 + ... + 177493208.

Almost surely, 2^{9799118035200} is an apocalyptic number.

9799118035200 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 9799118035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19593466771200).

9799118035200 is an abundant number, since it is smaller than the sum of its proper divisors (29387815507200).

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

9799118035200 is a wasteful number, since it uses less digits than its factorization.

9799118035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55344 (or 55319 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 9799118035200 in words is "nine trillion, seven hundred ninety-nine billion, one hundred eighteen million, thirty-five thousand, two hundred".