12720960576 has 168 divisors, whose sum is σ = 37910658240. Its totient is φ = 4229356032.

The previous prime is 12720960569. The next prime is 12720960587. The reversal of 12720960576 is 67506902721.

12720960576 is a `hidden beast` number, since 1 + 2 + 72 + 0 + 9 + 6 + 0 + 576 = 666.

It is a super-2 number, since 2×12720960576² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7915165 + ... + 7916771.

It is an arithmetic number, because the mean of its divisors is an integer number (225658680).

Almost surely, 2^12720960576 is an apocalyptic number.

12720960576 is a gapful number since it is divisible by the number (16) 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 12720960576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18955329120).

12720960576 is an abundant number, since it is smaller than the sum of its proper divisors (25189697664).

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

12720960576 is an equidigital number, since it uses as much as digits as its factorization.

12720960576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 12720960576 in words is "twelve billion, seven hundred twenty million, nine hundred sixty thousand, five hundred seventy-six".