9983178028800 has 1728 divisors, whose sum is σ = 40582756287360. Its totient is φ = 2390485893120.

The previous prime is 9983178028793. The next prime is 9983178028907. The reversal of 9983178028800 is 88208713899.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5760632734 + ... + 5760634466.

It is an arithmetic number, because the mean of its divisors is an integer number (23485391370).

Almost surely, 2^{9983178028800} is an apocalyptic number.

9983178028800 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 9983178028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20291378143680).

9983178028800 is an abundant number, since it is smaller than the sum of its proper divisors (30599578258560).

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

9983178028800 is a wasteful number, since it uses less digits than its factorization.

9983178028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 9983178028800 in words is "nine trillion, nine hundred eighty-three billion, one hundred seventy-eight million, twenty-eight thousand, eight hundred".