282782080000 has 880 divisors, whose sum is σ = 884021022720. Its totient is φ = 88178688000.

The previous prime is 282782079997. The next prime is 282782080013. The reversal of 282782080000 is 80287282.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3579519961 + ... + 3579520039.

It is an arithmetic number, because the mean of its divisors is an integer number (1004569344).

Almost surely, 2^282782080000 is an apocalyptic number.

282782080000 is a gapful number since it is divisible by the number (20) 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 282782080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442010511360).

282782080000 is an abundant number, since it is smaller than the sum of its proper divisors (601238942720).

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

282782080000 is an equidigital number, since it uses as much as digits as its factorization.

282782080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The spelling of 282782080000 in words is "two hundred eighty-two billion, seven hundred eighty-two million, eighty thousand".