12724288105763 has 16 divisors (see below), whose sum is σ = 13808324619936. Its totient is φ = 11655294942720.

The previous prime is 12724288105699. The next prime is 12724288105769. The reversal of 12724288105763 is 36750188242721.

It is a happy number.

It is not a de Polignac number, because 12724288105763 - 2⁶ = 12724288105699 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12724288105699 and 12724288105708.

It is not an unprimeable number, because it can be changed into a prime (12724288105769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39104045 + ... + 39428097.

It is an arithmetic number, because the mean of its divisors is an integer number (863020288746).

Almost surely, 2^{12724288105763} is an apocalyptic number.

12724288105763 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12724288105763 is a deficient number, since it is larger than the sum of its proper divisors (1084036514173).

12724288105763 is a wasteful number, since it uses less digits than its factorization.

12724288105763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347254.

The product of its (nonzero) digits is 9031680, while the sum is 56.

The spelling of 12724288105763 in words is "twelve trillion, seven hundred twenty-four billion, two hundred eighty-eight million, one hundred five thousand, seven hundred sixty-three".