9960782286000 has 1280 divisors, whose sum is σ = 40687187853312. Its totient is φ = 2040509952000.

The previous prime is 9960782285957. The next prime is 9960782286001. The reversal of 9960782286000 is 6822870699.

It is a hoax number, since the sum of its digits (57) 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 (9960782286001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3361720519 + ... + 3361723481.

Almost surely, 2^{9960782286000} 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 9960782286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20343593926656).

9960782286000 is an abundant number, since it is smaller than the sum of its proper divisors (30726405567312).

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

9960782286000 is a wasteful number, since it uses less digits than its factorization.

9960782286000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 9960782286000 in words is "nine trillion, nine hundred sixty billion, seven hundred eighty-two million, two hundred eighty-six thousand".