16766505107712 has 864 divisors, whose sum is σ = 57855233587200. Its totient is φ = 4766323212288.

The previous prime is 16766505107701. The next prime is 16766505107741. The reversal of 16766505107712 is 21770150566761.

16766505107712 is a `hidden beast` number, since 1 + 6 + 7 + 6 + 6 + 50 + 510 + 7 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×16766505107712² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 872927613 + ... + 872946819.

Almost surely, 2^{16766505107712} is an apocalyptic number.

16766505107712 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 16766505107712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28927616793600).

16766505107712 is an abundant number, since it is smaller than the sum of its proper divisors (41088728479488).

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

16766505107712 is a wasteful number, since it uses less digits than its factorization.

16766505107712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19308 (or 19271 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 16766505107712 in words is "sixteen trillion, seven hundred sixty-six billion, five hundred five million, one hundred seven thousand, seven hundred twelve".