12775648680720 has 320 divisors, whose sum is σ = 45529623417600. Its totient is φ = 3288842403840.

The previous prime is 12775648680673. The next prime is 12775648680727. The reversal of 12775648680720 is 2708684657721.

It is a happy number.

12775648680720 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 5 + 6 + 486 + 80 + 72 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (12775648680727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 541260439 + ... + 541284041.

It is an arithmetic number, because the mean of its divisors is an integer number (142280073180).

Almost surely, 2^{12775648680720} is an apocalyptic number.

12775648680720 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 12775648680720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22764811708800).

12775648680720 is an abundant number, since it is smaller than the sum of its proper divisors (32753974736880).

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

12775648680720 is a wasteful number, since it uses less digits than its factorization.

12775648680720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32295 (or 32283 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 12775648680720 in words is "twelve trillion, seven hundred seventy-five billion, six hundred forty-eight million, six hundred eighty thousand, seven hundred twenty".