12740533259805 has 256 divisors, whose sum is σ = 25879924224000. Its totient is φ = 5895069207552.

The previous prime is 12740533259771. The next prime is 12740533259807. The reversal of 12740533259805 is 50895233504721.

12740533259805 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 0 + 533 + 25 + 9 + 80 + 5 = 666.

It is not a de Polignac number, because 12740533259805 - 2²⁰ = 12740532211229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12740533259807) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3581818087 + ... + 3581821643.

It is an arithmetic number, because the mean of its divisors is an integer number (101093454000).

Almost surely, 2^{12740533259805} is an apocalyptic number.

12740533259805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12740533259805 is an abundant number, since it is smaller than the sum of its proper divisors (13139390964195).

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

12740533259805 is a wasteful number, since it uses less digits than its factorization.

12740533259805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4425 (or 4419 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 12740533259805 in words is "twelve trillion, seven hundred forty billion, five hundred thirty-three million, two hundred fifty-nine thousand, eight hundred five".