9981860428800 has 1320 divisors, whose sum is σ = 41902002388400. Its totient is φ = 2327634247680.

The previous prime is 9981860428777. The next prime is 9981860428807. The reversal of 9981860428800 is 88240681899.

9981860428800 is a `hidden beast` number, since 9 + 9 + 8 + 18 + 604 + 2 + 8 + 8 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9981860428807) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 512169456 + ... + 512188944.

Almost surely, 2^{9981860428800} is an apocalyptic number.

9981860428800 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 9981860428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20951001194200).

9981860428800 is an abundant number, since it is smaller than the sum of its proper divisors (31920141959600).

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

9981860428800 is a wasteful number, since it uses less digits than its factorization.

9981860428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19563 (or 19531 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 9981860428800 in words is "nine trillion, nine hundred eighty-one billion, eight hundred sixty million, four hundred twenty-eight thousand, eight hundred".