1282768508160 has 108 divisors (see below), whose sum is σ = 4438245456372. Its totient is φ = 342071599104.

The previous prime is 1282768508149. The next prime is 1282768508167. The reversal of 1282768508160 is 618058672821.

1282768508160 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 76 + 8 + 508 + 1 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 670092862464 + 612675645696 = 818592^2 + 782736^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1282768508097 and 1282768508106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1282768508167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55664197 + ... + 55687236.

Almost surely, 2^{1282768508160} is an apocalyptic number.

1282768508160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1282768508160 is an abundant number, since it is smaller than the sum of its proper divisors (3155476948212).

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

1282768508160 is a wasteful number, since it uses less digits than its factorization.

1282768508160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111351460 (or 111351443 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 1282768508160 in words is "one trillion, two hundred eighty-two billion, seven hundred sixty-eight million, five hundred eight thousand, one hundred sixty".