1268582561280 has 480 divisors, whose sum is σ = 4510565867808. Its totient is φ = 329308569600.

The previous prime is 1268582561261. The next prime is 1268582561299. The reversal of 1268582561280 is 821652858621.

1268582561280 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 58 + 2 + 561 + 28 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1268582561261) and next prime (1268582561299).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

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, 526163275 + ... + 526165685.

Almost surely, 2^{1268582561280} is an apocalyptic number.

1268582561280 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 1268582561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255282933904).

1268582561280 is an abundant number, since it is smaller than the sum of its proper divisors (3241983306528).

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

1268582561280 is a wasteful number, since it uses less digits than its factorization.

1268582561280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 1268582561280 in words is "one trillion, two hundred sixty-eight billion, five hundred eighty-two million, five hundred sixty-one thousand, two hundred eighty".