1288796397056 has 320 divisors, whose sum is σ = 3188143981440. Its totient is φ = 509672816640.

The previous prime is 1288796397047. The next prime is 1288796397071. The reversal of 1288796397056 is 6507936978821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933233486 + ... + 933234866.

It is an arithmetic number, because the mean of its divisors is an integer number (9962949942).

Almost surely, 2^{1288796397056} is an apocalyptic number.

1288796397056 is a gapful number since it is divisible by the number (16) 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 1288796397056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594071990720).

1288796397056 is an abundant number, since it is smaller than the sum of its proper divisors (1899347584384).

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

1288796397056 is an frugal number, since it uses more digits than its factorization.

1288796397056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 71.

The spelling of 1288796397056 in words is "one trillion, two hundred eighty-eight billion, seven hundred ninety-six million, three hundred ninety-seven thousand, fifty-six".