16871666560 has 256 divisors, whose sum is σ = 48780610560. Its totient is φ = 5454839808.

The previous prime is 16871666549. The next prime is 16871666611. The reversal of 16871666560 is 6566617861.

It is a happy number.

It is a Smith number, since the sum of its digits (52) 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 = 16871666498 and 16871666507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7520799 + ... + 7523041.

It is an arithmetic number, because the mean of its divisors is an integer number (190549260).

Almost surely, 2^16871666560 is an apocalyptic number.

16871666560 is a gapful number since it is divisible by the number (10) 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 16871666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24390305280).

16871666560 is an abundant number, since it is smaller than the sum of its proper divisors (31908944000).

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

16871666560 is a wasteful number, since it uses less digits than its factorization.

16871666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

It can be divided in two parts, 16 and 871666560, that added together give a square (871666576 = 29524²).

The spelling of 16871666560 in words is "sixteen billion, eight hundred seventy-one million, six hundred sixty-six thousand, five hundred sixty".