1279782012960 has 576 divisors, whose sum is σ = 5218512324480. Its totient is φ = 281929482240.

The previous prime is 1279782012953. The next prime is 1279782013021. The reversal of 1279782012960 is 692102879721.

1279782012960 is a `hidden beast` number, since 1 + 279 + 7 + 82 + 0 + 1 + 296 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1279782012897 and 1279782012906.

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, 7727179 + ... + 7891061.

It is an arithmetic number, because the mean of its divisors is an integer number (9059917230).

Almost surely, 2^{1279782012960} is an apocalyptic number.

1279782012960 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 1279782012960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609256162240).

1279782012960 is an abundant number, since it is smaller than the sum of its proper divisors (3938730311520).

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

1279782012960 is a wasteful number, since it uses less digits than its factorization.

1279782012960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163961 (or 163950 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 1279782012960 in words is "one trillion, two hundred seventy-nine billion, seven hundred eighty-two million, twelve thousand, nine hundred sixty".