16681110773760 has 336 divisors, whose sum is σ = 57842348118984. Its totient is φ = 4446909628416.

The previous prime is 16681110773759. The next prime is 16681110773819. The reversal of 16681110773760 is 6737701118661.

16681110773760 is a `hidden beast` number, since 16 + 6 + 81 + 110 + 77 + 376 + 0 = 666.

16681110773760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6911935451136 + 9769175322624 = 2629056^2 + 3125568^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16681110773697 and 16681110773706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1818496534 + ... + 1818505706.

Almost surely, 2^{16681110773760} is an apocalyptic number.

16681110773760 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 16681110773760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28921174059492).

16681110773760 is an abundant number, since it is smaller than the sum of its proper divisors (41161237345224).

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

16681110773760 is an equidigital number, since it uses as much as digits as its factorization.

16681110773760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14143 (or 14116 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 16681110773760 in words is "sixteen trillion, six hundred eighty-one billion, one hundred ten million, seven hundred seventy-three thousand, seven hundred sixty".