1286773500960 has 288 divisors, whose sum is σ = 4650947683200. Its totient is φ = 322848497664.

The previous prime is 1286773500959. The next prime is 1286773500989. The reversal of 1286773500960 is 690053776821.

1286773500960 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 7 + 73 + 500 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1286773500897 and 1286773500906.

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 47 ways as a sum of consecutive naturals, for example, 96028341 + ... + 96041739.

It is an arithmetic number, because the mean of its divisors is an integer number (16149123900).

Almost surely, 2^{1286773500960} is an apocalyptic number.

1286773500960 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 1286773500960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325473841600).

1286773500960 is an abundant number, since it is smaller than the sum of its proper divisors (3364174182240).

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

1286773500960 is a wasteful number, since it uses less digits than its factorization.

1286773500960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17360 (or 17349 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1286773500960 in words is "one trillion, two hundred eighty-six billion, seven hundred seventy-three million, five hundred thousand, nine hundred sixty".