12716864160 has 1152 divisors, whose sum is σ = 57915648000. Its totient is φ = 2299207680.

The previous prime is 12716864143. The next prime is 12716864177. The reversal of 12716864160 is 6146861721.

It is an interprime number because it is at equal distance from previous prime (12716864143) and next prime (12716864177).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63903741 + ... + 63903939.

It is an arithmetic number, because the mean of its divisors is an integer number (50274000).

Almost surely, 2^12716864160 is an apocalyptic number.

12716864160 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 12716864160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28957824000).

12716864160 is an abundant number, since it is smaller than the sum of its proper divisors (45198783840).

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

12716864160 is a wasteful number, since it uses less digits than its factorization.

12716864160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 12716864160 in words is "twelve billion, seven hundred sixteen million, eight hundred sixty-four thousand, one hundred sixty".