9982592861472 has 1152 divisors, whose sum is σ = 39026873088000. Its totient is φ = 2447976867840.

The previous prime is 9982592861431. The next prime is 9982592861473. The reversal of 9982592861472 is 2741682952899.

9982592861472 is a `hidden beast` number, since 9 + 9 + 8 + 2 + 5 + 92 + 8 + 61 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 9982592861472.

It is not an unprimeable number, because it can be changed into a prime (9982592861473) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2804885229 + ... + 2804888787.

It is an arithmetic number, because the mean of its divisors is an integer number (33877494000).

Almost surely, 2^{9982592861472} 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 9982592861472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19513436544000).

9982592861472 is an abundant number, since it is smaller than the sum of its proper divisors (29044280226528).

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

9982592861472 is a wasteful number, since it uses less digits than its factorization.

9982592861472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3939 (or 3918 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 72.

The spelling of 9982592861472 in words is "nine trillion, nine hundred eighty-two billion, five hundred ninety-two million, eight hundred sixty-one thousand, four hundred seventy-two".