11268960288768 has 968 divisors, whose sum is σ = 41608223957328. Its totient is φ = 2972033482752.

The previous prime is 11268960288763. The next prime is 11268960288827. The reversal of 11268960288768 is 86788206986211.

11268960288768 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 8 + 9 + 602 + 8 + 8 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 11268960288696 and 11268960288705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11268960288763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 866843099130 + ... + 866843099142.

Almost surely, 2^{11268960288768} is an apocalyptic number.

11268960288768 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 11268960288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20804111978664).

11268960288768 is an abundant number, since it is smaller than the sum of its proper divisors (30339263668560).

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

11268960288768 is an frugal number, since it uses more digits than its factorization.

11268960288768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 11268960288768 in words is "eleven trillion, two hundred sixty-eight billion, nine hundred sixty million, two hundred eighty-eight thousand, seven hundred sixty-eight".