11916768160000 has 1080 divisors, whose sum is σ = 34338134454624. Its totient is φ = 4090920960000.

The previous prime is 11916768159997. The next prime is 11916768160039. The reversal of 11916768160000 is 6186761911.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 122853279952 + ... + 122853280048.

Almost surely, 2^{11916768160000} is an apocalyptic number.

11916768160000 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 11916768160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17169067227312).

11916768160000 is an abundant number, since it is smaller than the sum of its proper divisors (22421366294624).

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

11916768160000 is an frugal number, since it uses more digits than its factorization.

11916768160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 46.

The spelling of 11916768160000 in words is "eleven trillion, nine hundred sixteen billion, seven hundred sixty-eight million, one hundred sixty thousand".