12718460160 has 576 divisors, whose sum is σ = 54314803200. Its totient is φ = 2753077248.

The previous prime is 12718460159. The next prime is 12718460177. The reversal of 12718460160 is 6106481721.

It is a happy number.

12718460160 is a `hidden beast` number, since 1 + 27 + 18 + 460 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4595097 + ... + 4597863.

Almost surely, 2^12718460160 is an apocalyptic number.

12718460160 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 12718460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27157401600).

12718460160 is an abundant number, since it is smaller than the sum of its proper divisors (41596343040).

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

12718460160 is a wasteful number, since it uses less digits than its factorization.

12718460160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

It can be divided in two parts, 12718 and 460160, that added together give a triangular number (472878 = T₉₇₂).

The spelling of 12718460160 in words is "twelve billion, seven hundred eighteen million, four hundred sixty thousand, one hundred sixty".