2006671618566 has 80 divisors (see below), whose sum is σ = 4896295153200. Its totient is φ = 611834513472.

The previous prime is 2006671618543. The next prime is 2006671618577. The reversal of 2006671618566 is 6658161766002.

2006671618566 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 6 + 71 + 6 + 1 + 8 + 566 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11151085 + ... + 11329608.

It is an arithmetic number, because the mean of its divisors is an integer number (61203689415).

Almost surely, 2^{2006671618566} is an apocalyptic number.

2006671618566 is an abundant number, since it is smaller than the sum of its proper divisors (2889623534634).

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

2006671618566 is a wasteful number, since it uses less digits than its factorization.

2006671618566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22480755 (or 22480746 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2006671618566 in words is "two trillion, six billion, six hundred seventy-one million, six hundred eighteen thousand, five hundred sixty-six".