16713164160 has 1280 divisors, whose sum is σ = 76777113600. Its totient is φ = 3364208640.

The previous prime is 16713164159. The next prime is 16713164207. The reversal of 16713164160 is 6146131761.

16713164160 is a `hidden beast` number, since 1 + 6 + 7 + 1 + 3 + 1 + 641 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 211559001 + ... + 211559079.

It is an arithmetic number, because the mean of its divisors is an integer number (59982120).

Almost surely, 2^16713164160 is an apocalyptic number.

16713164160 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 16713164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38388556800).

16713164160 is an abundant number, since it is smaller than the sum of its proper divisors (60063949440).

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

16713164160 is a wasteful number, since it uses less digits than its factorization.

16713164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 16713164160 in words is "sixteen billion, seven hundred thirteen million, one hundred sixty-four thousand, one hundred sixty".