16586444005866 has 128 divisors (see below), whose sum is σ = 42432284160000. Its totient is φ = 4704343987392.

The previous prime is 16586444005861. The next prime is 16586444005909. The reversal of 16586444005866 is 66850044468561.

16586444005866 is a `hidden beast` number, since 1 + 6 + 5 + 8 + 6 + 4 + 4 + 40 + 0 + 586 + 6 = 666.

It is a super-2 number, since 2×16586444005866² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (16586444005861) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 725015620 + ... + 725038496.

It is an arithmetic number, because the mean of its divisors is an integer number (331502220000).

Almost surely, 2^{16586444005866} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16586444005866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21216142080000).

16586444005866 is an abundant number, since it is smaller than the sum of its proper divisors (25845840154134).

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

16586444005866 is a wasteful number, since it uses less digits than its factorization.

16586444005866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36833 (or 36827 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 16586444005866 in words is "sixteen trillion, five hundred eighty-six billion, four hundred forty-four million, five thousand, eight hundred sixty-six".