12745606517280 has 2880 divisors, whose sum is σ = 60097960292832. Its totient is φ = 2512685629440.

The previous prime is 12745606517251. The next prime is 12745606517299. The reversal of 12745606517280 is 8271560654721.

It is a happy number.

12745606517280 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 5 + 606 + 5 + 1 + 7 + 28 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2970204071184 + 9775402446096 = 1723428^2 + 3126564^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 27647736250 + ... + 27647736710.

Almost surely, 2^{12745606517280} is an apocalyptic number.

12745606517280 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 12745606517280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30048980146416).

12745606517280 is an abundant number, since it is smaller than the sum of its proper divisors (47352353775552).

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

12745606517280 is a wasteful number, since it uses less digits than its factorization.

12745606517280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 12745606517280 in words is "twelve trillion, seven hundred forty-five billion, six hundred six million, five hundred seventeen thousand, two hundred eighty".