1282568834880 has 448 divisors, whose sum is σ = 4572134112000. Its totient is φ = 338443370496.

The previous prime is 1282568834861. The next prime is 1282568834903. The reversal of 1282568834880 is 884388652821.

1282568834880 is a `hidden beast` number, since 1 + 28 + 2 + 56 + 8 + 83 + 488 + 0 = 666.

It is a super-2 number, since 2×1282568834880² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 404721936 + ... + 404725104.

It is an arithmetic number, because the mean of its divisors is an integer number (10205656500).

Almost surely, 2^{1282568834880} is an apocalyptic number.

1282568834880 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 1282568834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286067056000).

1282568834880 is an abundant number, since it is smaller than the sum of its proper divisors (3289565277120).

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

1282568834880 is a wasteful number, since it uses less digits than its factorization.

1282568834880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3671 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 63.

The spelling of 1282568834880 in words is "one trillion, two hundred eighty-two billion, five hundred sixty-eight million, eight hundred thirty-four thousand, eight hundred eighty".