1282672065856 has 112 divisors (see below), whose sum is σ = 2596451235840. Its totient is φ = 628584652800.

The previous prime is 1282672065839. The next prime is 1282672065863. The reversal of 1282672065856 is 6585602762821.

It is a self number, because there is not a number n which added to its sum of digits gives 1282672065856.

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 15 ways as a sum of consecutive naturals, for example, 452121270 + ... + 452124106.

It is an arithmetic number, because the mean of its divisors is an integer number (23182600320).

Almost surely, 2^{1282672065856} is an apocalyptic number.

1282672065856 is a gapful number since it is divisible by the number (16) 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 1282672065856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298225617920).

1282672065856 is an abundant number, since it is smaller than the sum of its proper divisors (1313779169984).

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

1282672065856 is a wasteful number, since it uses less digits than its factorization.

1282672065856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552 (or 3542 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 58.

The spelling of 1282672065856 in words is "one trillion, two hundred eighty-two billion, six hundred seventy-two million, sixty-five thousand, eight hundred fifty-six".