1288096432128 has 300 divisors, whose sum is σ = 4198159680792. Its totient is φ = 390327828480.

The previous prime is 1288096432111. The next prime is 1288096432153. The reversal of 1288096432128 is 8212346908821.

1288096432128 is a `hidden beast` number, since 1 + 2 + 8 + 80 + 9 + 6 + 432 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14554026 + ... + 14642262.

Almost surely, 2^{1288096432128} is an apocalyptic number.

1288096432128 is a gapful number since it is divisible by the number (18) 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 1288096432128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099079840396).

1288096432128 is an abundant number, since it is smaller than the sum of its proper divisors (2910063248664).

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

1288096432128 is an frugal number, since it uses more digits than its factorization.

1288096432128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88288 (or 88253 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 1288096432128 in words is "one trillion, two hundred eighty-eight billion, ninety-six million, four hundred thirty-two thousand, one hundred twenty-eight".