9982096992 has 288 divisors, whose sum is σ = 35352253440. Its totient is φ = 2683791360.

The previous prime is 9982096987. The next prime is 9982097011. The reversal of 9982096992 is 2996902899.

9982096992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1745017 + ... + 1750727.

It is an arithmetic number, because the mean of its divisors is an integer number (122750880).

Almost surely, 2^9982096992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9982096992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17676126720).

9982096992 is an abundant number, since it is smaller than the sum of its proper divisors (25370156448).

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

9982096992 is a wasteful number, since it uses less digits than its factorization.

9982096992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5771 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 63.

The square root of 9982096992 is about 99910.4448593839. Note that the first 3 decimals coincide. The cubic root of 9982096992 is about 2153.1482266243.

The spelling of 9982096992 in words is "nine billion, nine hundred eighty-two million, ninety-six thousand, nine hundred ninety-two".