12760300683648 has 512 divisors, whose sum is σ = 43568293708800. Its totient is φ = 3601255956480.

The previous prime is 12760300683623. The next prime is 12760300683661. The reversal of 12760300683648 is 84638600306721.

12760300683648 is a `hidden beast` number, since 1 + 27 + 603 + 0 + 0 + 6 + 8 + 3 + 6 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12760300683594 and 12760300683603.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1283598358 + ... + 1283608298.

It is an arithmetic number, because the mean of its divisors is an integer number (85094323650).

Almost surely, 2^{12760300683648} is an apocalyptic number.

12760300683648 is a gapful number since it is divisible by the number (18) 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 12760300683648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21784146854400).

12760300683648 is an abundant number, since it is smaller than the sum of its proper divisors (30807993025152).

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

12760300683648 is an equidigital number, since it uses as much as digits as its factorization.

12760300683648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10615 (or 10597 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 12760300683648 in words is "twelve trillion, seven hundred sixty billion, three hundred million, six hundred eighty-three thousand, six hundred forty-eight".