11808709061760 has 768 divisors, whose sum is σ = 47083487068800. Its totient is φ = 2780350341120.

The previous prime is 11808709061711. The next prime is 11808709061819. The reversal of 11808709061760 is 6716090780811.

11808709061760 is a `hidden beast` number, since 1 + 18 + 0 + 8 + 7 + 0 + 9 + 0 + 617 + 6 + 0 = 666.

11808709061760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 11808709061697 and 11808709061706.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118784875 + ... + 118884245.

Almost surely, 2^{11808709061760} is an apocalyptic number.

11808709061760 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 11808709061760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23541743534400).

11808709061760 is an abundant number, since it is smaller than the sum of its proper divisors (35274778007040).

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

11808709061760 is a wasteful number, since it uses less digits than its factorization.

11808709061760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99458 (or 99417 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 11808709061760 in words is "eleven trillion, eight hundred eight billion, seven hundred nine million, sixty-one thousand, seven hundred sixty".