10982296884240 has 1920 divisors, whose sum is σ = 44624788116480. Its totient is φ = 2392311398400.

The previous prime is 10982296884197. The next prime is 10982296884241. The reversal of 10982296884240 is 4248869228901.

10982296884240 is a `hidden beast` number, since 1 + 0 + 98 + 229 + 6 + 8 + 84 + 240 = 666.

It is a super-2 number, since 2×10982296884240² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10982296884241) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 55747699822 + ... + 55747700018.

It is an arithmetic number, because the mean of its divisors is an integer number (23242077144).

Almost surely, 2^{10982296884240} is an apocalyptic number.

10982296884240 is a gapful number since it is divisible by the number (10) 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 10982296884240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22312394058240).

10982296884240 is an abundant number, since it is smaller than the sum of its proper divisors (33642491232240).

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

10982296884240 is a wasteful number, since it uses less digits than its factorization.

10982296884240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 10982296884240 in words is "ten trillion, nine hundred eighty-two billion, two hundred ninety-six million, eight hundred eighty-four thousand, two hundred forty".