13240980605853 has 288 divisors, whose sum is σ = 27798001096320. Its totient is φ = 5949397278720.

The previous prime is 13240980605837. The next prime is 13240980605891. The reversal of 13240980605853 is 35850608904231.

13240980605853 is a `hidden beast` number, since 1 + 3 + 2 + 409 + 80 + 60 + 58 + 53 = 666.

It is not a de Polignac number, because 13240980605853 - 2⁴ = 13240980605837 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13240980605853.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13240980605893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 243332913 + ... + 243387321.

It is an arithmetic number, because the mean of its divisors is an integer number (96520837140).

Almost surely, 2^{13240980605853} is an apocalyptic number.

13240980605853 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13240980605853 is an abundant number, since it is smaller than the sum of its proper divisors (14557020490467).

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

13240980605853 is a wasteful number, since it uses less digits than its factorization.

13240980605853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54697 (or 54687 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 13240980605853 in words is "thirteen trillion, two hundred forty billion, nine hundred eighty million, six hundred five thousand, eight hundred fifty-three".