16871840163360 has 1728 divisors, whose sum is σ = 79005450232800. Its totient is φ = 3234757607424.

The previous prime is 16871840163359. The next prime is 16871840163383. The reversal of 16871840163360 is 6336104817861.

16871840163360 is a `hidden beast` number, since 1 + 6 + 87 + 1 + 8 + 40 + 163 + 360 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1291104967824 + 15580735195536 = 1136268^2 + 3947244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16871840163297 and 16871840163306.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 452200386 + ... + 452237694.

Almost surely, 2^{16871840163360} is an apocalyptic number.

16871840163360 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 16871840163360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39502725116400).

16871840163360 is an abundant number, since it is smaller than the sum of its proper divisors (62133610069440).

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

16871840163360 is a wasteful number, since it uses less digits than its factorization.

16871840163360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37403 (or 37385 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 16871840163360 in words is "sixteen trillion, eight hundred seventy-one billion, eight hundred forty million, one hundred sixty-three thousand, three hundred sixty".