1282805959680 has 704 divisors, whose sum is σ = 5436748154880. Its totient is φ = 280459542528.

The previous prime is 1282805959651. The next prime is 1282805959709. The reversal of 1282805959680 is 869595082821.

1282805959680 is a `hidden beast` number, since 12 + 8 + 28 + 0 + 5 + 9 + 596 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1282805959651) and next prime (1282805959709).

It is a super-2 number, since 2×1282805959680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 22227822 + ... + 22285458.

Almost surely, 2^{1282805959680} is an apocalyptic number.

1282805959680 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 1282805959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718374077440).

1282805959680 is an abundant number, since it is smaller than the sum of its proper divisors (4153942195200).

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

1282805959680 is a wasteful number, since it uses less digits than its factorization.

1282805959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57701 (or 57677 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 1282805959680 in words is "one trillion, two hundred eighty-two billion, eight hundred five million, nine hundred fifty-nine thousand, six hundred eighty".