12056945558560 has 288 divisors, whose sum is σ = 35506925475840. Its totient is φ = 3843765854208.

The previous prime is 12056945558549. The next prime is 12056945558569. The reversal of 12056945558560 is 6585554965021.

It is not an unprimeable number, because it can be changed into a prime (12056945558569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10517281 + ... + 11607199.

It is an arithmetic number, because the mean of its divisors is an integer number (123287935680).

Almost surely, 2^{12056945558560} is an apocalyptic number.

12056945558560 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 12056945558560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17753462737920).

12056945558560 is an abundant number, since it is smaller than the sum of its proper divisors (23449979917280).

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

12056945558560 is a wasteful number, since it uses less digits than its factorization.

12056945558560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090048 (or 1090033 counting only the distinct ones).

The product of its (nonzero) digits is 64800000, while the sum is 61.

The spelling of 12056945558560 in words is "twelve trillion, fifty-six billion, nine hundred forty-five million, five hundred fifty-eight thousand, five hundred sixty".