1280056642560 has 1408 divisors, whose sum is σ = 5030707200000. Its totient is φ = 307436912640.

The previous prime is 1280056642531. The next prime is 1280056642603. The reversal of 1280056642560 is 652466500821.

1280056642560 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 0 + 566 + 4 + 25 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6432445341 + ... + 6432445539.

Almost surely, 2^{1280056642560} is an apocalyptic number.

1280056642560 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 1280056642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515353600000).

1280056642560 is an abundant number, since it is smaller than the sum of its proper divisors (3750650557440).

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

1280056642560 is a wasteful number, since it uses less digits than its factorization.

1280056642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1280056642560 in words is "one trillion, two hundred eighty billion, fifty-six million, six hundred forty-two thousand, five hundred sixty".