12776268960 has 288 divisors, whose sum is σ = 53660880000. Its totient is φ = 2695624704.

The previous prime is 12776268949. The next prime is 12776268983. The reversal of 12776268960 is 6986267721.

12776268960 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 626 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 12776268897 and 12776268906.

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, 82291 + ... + 179789.

It is an arithmetic number, because the mean of its divisors is an integer number (186322500).

Almost surely, 2^12776268960 is an apocalyptic number.

12776268960 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 12776268960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26830440000).

12776268960 is an abundant number, since it is smaller than the sum of its proper divisors (40884611040).

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

12776268960 is a wasteful number, since it uses less digits than its factorization.

12776268960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97540 (or 97529 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 12776268960 in words is "twelve billion, seven hundred seventy-six million, two hundred sixty-eight thousand, nine hundred sixty".