12765976080 has 640 divisors, whose sum is σ = 48956866560. Its totient is φ = 2725632000.

The previous prime is 12765976057. The next prime is 12765976087. The reversal of 12765976080 is 8067956721.

It is not an unprimeable number, because it can be changed into a prime (12765976087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 179802445 + ... + 179802515.

It is an arithmetic number, because the mean of its divisors is an integer number (76495104).

Almost surely, 2^12765976080 is an apocalyptic number.

12765976080 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 12765976080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24478433280).

12765976080 is an abundant number, since it is smaller than the sum of its proper divisors (36190890480).

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

12765976080 is a wasteful number, since it uses less digits than its factorization.

12765976080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 12765976080 in words is "twelve billion, seven hundred sixty-five million, nine hundred seventy-six thousand, eighty".