16566116611716 has 576 divisors, whose sum is σ = 56059451481600. Its totient is φ = 4196208844800.

The previous prime is 16566116611661. The next prime is 16566116611747. The reversal of 16566116611716 is 61711661166561.

16566116611716 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 6 + 1 + 1 + 6 + 611 + 7 + 16 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 106889761 + ... + 107044631.

It is an arithmetic number, because the mean of its divisors is an integer number (97325436600).

Almost surely, 2^{16566116611716} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16566116611716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28029725740800).

16566116611716 is an abundant number, since it is smaller than the sum of its proper divisors (39493334869884).

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

16566116611716 is a wasteful number, since it uses less digits than its factorization.

16566116611716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154985 (or 154970 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The spelling of 16566116611716 in words is "sixteen trillion, five hundred sixty-six billion, one hundred sixteen million, six hundred eleven thousand, seven hundred sixteen".