12561816960 has 768 divisors, whose sum is σ = 56137536000. Its totient is φ = 2607759360.

The previous prime is 12561816923. The next prime is 12561816977. The reversal of 12561816960 is 6961816521.

12561816960 is a `hidden beast` number, since 1 + 2 + 561 + 81 + 6 + 9 + 6 + 0 = 666.

12561816960 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 (45).

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, 11974516 + ... + 11975564.

It is an arithmetic number, because the mean of its divisors is an integer number (73095750).

Almost surely, 2^12561816960 is an apocalyptic number.

12561816960 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 12561816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28068768000).

12561816960 is an abundant number, since it is smaller than the sum of its proper divisors (43575719040).

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

12561816960 is a wasteful number, since it uses less digits than its factorization.

12561816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 12561816960 in words is "twelve billion, five hundred sixty-one million, eight hundred sixteen thousand, nine hundred sixty".