1256683068480 has 336 divisors, whose sum is σ = 4843983378816. Its totient is φ = 270344847360.

The previous prime is 1256683068461. The next prime is 1256683068499. The reversal of 1256683068480 is 848603866521.

It is an interprime number because it is at equal distance from previous prime (1256683068461) and next prime (1256683068499).

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 1256683068480.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1618540 + ... + 2265620.

Almost surely, 2^{1256683068480} is an apocalyptic number.

1256683068480 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 1256683068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421991689408).

1256683068480 is an abundant number, since it is smaller than the sum of its proper divisors (3587300310336).

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

1256683068480 is a wasteful number, since it uses less digits than its factorization.

1256683068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647142 (or 647115 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 1256683068480 in words is "one trillion, two hundred fifty-six billion, six hundred eighty-three million, sixty-eight thousand, four hundred eighty".