1288793296128 has 576 divisors, whose sum is σ = 4104221184000. Its totient is φ = 355202039808.

The previous prime is 1288793296111. The next prime is 1288793296129. The reversal of 1288793296128 is 8216923978821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288793296129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 388306053 + ... + 388309371.

It is an arithmetic number, because the mean of its divisors is an integer number (7125384000).

Almost surely, 2^{1288793296128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1288793296128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052110592000).

1288793296128 is an abundant number, since it is smaller than the sum of its proper divisors (2815427887872).

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

1288793296128 is a wasteful number, since it uses less digits than its factorization.

1288793296128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482 (or 3468 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 66.

The spelling of 1288793296128 in words is "one trillion, two hundred eighty-eight billion, seven hundred ninety-three million, two hundred ninety-six thousand, one hundred twenty-eight".