1082682881280 has 864 divisors, whose sum is σ = 5029607681280. Its totient is φ = 207665233920.

The previous prime is 1082682881257. The next prime is 1082682881353. The reversal of 1082682881280 is 821882862801.

1082682881280 is a `hidden beast` number, since 1 + 0 + 8 + 268 + 28 + 81 + 280 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11484576 + ... + 11578464.

Almost surely, 2^{1082682881280} is an apocalyptic number.

1082682881280 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 1082682881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514803840640).

1082682881280 is an abundant number, since it is smaller than the sum of its proper divisors (3946924800000).

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

1082682881280 is a wasteful number, since it uses less digits than its factorization.

1082682881280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93947 (or 93930 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 54.

The spelling of 1082682881280 in words is "one trillion, eighty-two billion, six hundred eighty-two million, eight hundred eighty-one thousand, two hundred eighty".