12716954706240 has 168 divisors, whose sum is σ = 43766817779880. Its totient is φ = 3389188276224.

The previous prime is 12716954706161. The next prime is 12716954706251. The reversal of 12716954706240 is 4260745961721.

12716954706240 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 6 + 9 + 5 + 4 + 7 + 0 + 624 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7779279626496 + 4937675079744 = 2789136^2 + 2222088^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3586356 + ... + 6188364.

Almost surely, 2^{12716954706240} is an apocalyptic number.

12716954706240 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 12716954706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21883408889940).

12716954706240 is an abundant number, since it is smaller than the sum of its proper divisors (31049863073640).

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

12716954706240 is a wasteful number, since it uses less digits than its factorization.

12716954706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603729 (or 2603716 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 12716954706240 in words is "twelve trillion, seven hundred sixteen billion, nine hundred fifty-four million, seven hundred six thousand, two hundred forty".