1280693504256 has 144 divisors (see below), whose sum is σ = 3558921555840. Its totient is φ = 408083005440.

The previous prime is 1280693504231. The next prime is 1280693504257. The reversal of 1280693504256 is 6524053960821.

It is a happy number.

It is a super-2 number, since 2×1280693504256² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1280693504199 and 1280693504208.

It is not an unprimeable number, because it can be changed into a prime (1280693504257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29459496 + ... + 29502936.

Almost surely, 2^{1280693504256} is an apocalyptic number.

1280693504256 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 1280693504256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779460777920).

1280693504256 is an abundant number, since it is smaller than the sum of its proper divisors (2278228051584).

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

1280693504256 is a wasteful number, since it uses less digits than its factorization.

1280693504256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45152 (or 45138 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 1280693504256 in words is "one trillion, two hundred eighty billion, six hundred ninety-three million, five hundred four thousand, two hundred fifty-six".