12768415817535 has 48 divisors (see below), whose sum is σ = 25361435271744. Its totient is φ = 5821341267456.

The previous prime is 12768415817501. The next prime is 12768415817557. The reversal of 12768415817535 is 53571851486721.

12768415817535 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 8 + 4 + 15 + 81 + 7 + 535 = 666.

It is not a de Polignac number, because 12768415817535 - 2⁶ = 12768415817471 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54218502 + ... + 54453491.

It is an arithmetic number, because the mean of its divisors is an integer number (528363234828).

Almost surely, 2^{12768415817535} is an apocalyptic number.

12768415817535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12768415817535 is a deficient number, since it is larger than the sum of its proper divisors (12593019454209).

12768415817535 is a wasteful number, since it uses less digits than its factorization.

12768415817535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108672384 (or 108672381 counting only the distinct ones).

The product of its digits is 56448000, while the sum is 63.

The spelling of 12768415817535 in words is "twelve trillion, seven hundred sixty-eight billion, four hundred fifteen million, eight hundred seventeen thousand, five hundred thirty-five".