11776160097792 has 320 divisors, whose sum is σ = 34969425384960. Its totient is φ = 3912893816832.

The previous prime is 11776160097731. The next prime is 11776160097809. The reversal of 11776160097792 is 29779006167711.

11776160097792 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 616 + 0 + 0 + 9 + 7 + 7 + 9 + 2 = 666.

11776160097792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 10774162398 + ... + 10774163490.

It is an arithmetic number, because the mean of its divisors is an integer number (109279454328).

Almost surely, 2^{11776160097792} is an apocalyptic number.

11776160097792 is a gapful number since it is divisible by the number (12) 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 11776160097792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17484712692480).

11776160097792 is an abundant number, since it is smaller than the sum of its proper divisors (23193265287168).

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

11776160097792 is an equidigital number, since it uses as much as digits as its factorization.

11776160097792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 14002632, while the sum is 63.

The spelling of 11776160097792 in words is "eleven trillion, seven hundred seventy-six billion, one hundred sixty million, ninety-seven thousand, seven hundred ninety-two".