12760076160 has 768 divisors, whose sum is σ = 51325747200. Its totient is φ = 2895298560.

The previous prime is 12760076123. The next prime is 12760076209. The reversal of 12760076160 is 6167006721.

12760076160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53389321 + ... + 53389559.

It is an arithmetic number, because the mean of its divisors is an integer number (66830400).

Almost surely, 2^12760076160 is an apocalyptic number.

12760076160 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 12760076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25662873600).

12760076160 is an abundant number, since it is smaller than the sum of its proper divisors (38565671040).

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

12760076160 is a wasteful number, since it uses less digits than its factorization.

12760076160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 12760076160 in words is "twelve billion, seven hundred sixty million, seventy-six thousand, one hundred sixty".