12781703168640 has 768 divisors, whose sum is σ = 52140543436800. Its totient is φ = 2823418183680.

The previous prime is 12781703168599. The next prime is 12781703168711. The reversal of 12781703168640 is 4686130718721.

12781703168640 is a `hidden beast` number, since 1 + 278 + 17 + 0 + 316 + 8 + 6 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 966181546 + ... + 966194774.

It is an arithmetic number, because the mean of its divisors is an integer number (67891332600).

Almost surely, 2^{12781703168640} is an apocalyptic number.

12781703168640 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 12781703168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26070271718400).

12781703168640 is an abundant number, since it is smaller than the sum of its proper divisors (39358840268160).

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

12781703168640 is a wasteful number, since it uses less digits than its factorization.

12781703168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14065 (or 14050 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 12781703168640 in words is "twelve trillion, seven hundred eighty-one billion, seven hundred three million, one hundred sixty-eight thousand, six hundred forty".