12896580480 has 256 divisors, whose sum is σ = 47941632000. Its totient is φ = 2947639296.

The previous prime is 12896580461. The next prime is 12896580481. The reversal of 12896580480 is 8408569821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12896580481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648769 + ... + 668351.

It is an arithmetic number, because the mean of its divisors is an integer number (187272000).

Almost surely, 2^12896580480 is an apocalyptic number.

12896580480 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 12896580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23970816000).

12896580480 is an abundant number, since it is smaller than the sum of its proper divisors (35045051520).

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

12896580480 is an equidigital number, since it uses as much as digits as its factorization.

12896580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19626 (or 19600 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 12896580480 in words is "twelve billion, eight hundred ninety-six million, five hundred eighty thousand, four hundred eighty".