10782839996928 has 240 divisors, whose sum is σ = 32233640414976. Its totient is φ = 3466450575360.

The previous prime is 10782839996881. The next prime is 10782839997029. The reversal of 10782839996928 is 82969993828701.

10782839996928 is a `hidden beast` number, since 10 + 78 + 283 + 99 + 96 + 92 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41725651 + ... + 41983277.

Almost surely, 2^{10782839996928} is an apocalyptic number.

10782839996928 is a gapful number since it is divisible by the number (18) 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 10782839996928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16116820207488).

10782839996928 is an abundant number, since it is smaller than the sum of its proper divisors (21450800418048).

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

10782839996928 is a wasteful number, since it uses less digits than its factorization.

10782839996928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257975 (or 257956 counting only the distinct ones).

The product of its (nonzero) digits is 1693052928, while the sum is 81.

The spelling of 10782839996928 in words is "ten trillion, seven hundred eighty-two billion, eight hundred thirty-nine million, nine hundred ninety-six thousand, nine hundred twenty-eight".