12680763535440 has 5040 divisors, whose sum is σ = 63335296281600. Its totient is φ = 2353813862400.

The previous prime is 12680763535423. The next prime is 12680763535579. The reversal of 12680763535440 is 4453536708621.

12680763535440 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 0 + 7 + 63 + 535 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 409056888225 + ... + 409056888255.

It is an arithmetic number, because the mean of its divisors is an integer number (12566527040).

Almost surely, 2^{12680763535440} is an apocalyptic number.

12680763535440 is a gapful number since it is divisible by the number (10) 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 12680763535440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31667648140800).

12680763535440 is an abundant number, since it is smaller than the sum of its proper divisors (50654532746160).

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

12680763535440 is a wasteful number, since it uses less digits than its factorization.

12680763535440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 12680763535440 in words is "twelve trillion, six hundred eighty billion, seven hundred sixty-three million, five hundred thirty-five thousand, four hundred forty".