16805585608660 has 48 divisors (see below), whose sum is σ = 35351192861712. Its totient is φ = 6710910566400.

The previous prime is 16805585608649. The next prime is 16805585608673. The reversal of 16805585608660 is 6680658550861.

It can be written as a sum of positive squares in 8 ways, for example, as 6718889094724 + 10086696513936 = 2592082^2 + 3175956^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 16805585608592 and 16805585608601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108392554 + ... + 108547486.

It is an arithmetic number, because the mean of its divisors is an integer number (736483184619).

Almost surely, 2^{16805585608660} is an apocalyptic number.

16805585608660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16805585608660 is an abundant number, since it is smaller than the sum of its proper divisors (18545607253052).

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

16805585608660 is a wasteful number, since it uses less digits than its factorization.

16805585608660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164044 (or 164042 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 64.

The spelling of 16805585608660 in words is "sixteen trillion, eight hundred five billion, five hundred eighty-five million, six hundred eight thousand, six hundred sixty".