12055049256960 has 1080 divisors, whose sum is σ = 44124188996160. Its totient is φ = 3042274443264.

The previous prime is 12055049256889. The next prime is 12055049256973. The reversal of 12055049256960 is 6965294055021.

12055049256960 is a `hidden beast` number, since 1 + 2 + 0 + 550 + 4 + 9 + 25 + 6 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12055049256897 and 12055049256906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50439536521 + ... + 50439536759.

It is an arithmetic number, because the mean of its divisors is an integer number (40855730552).

Almost surely, 2^{12055049256960} is an apocalyptic number.

12055049256960 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 12055049256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22062094498080).

12055049256960 is an abundant number, since it is smaller than the sum of its proper divisors (32069139739200).

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

12055049256960 is an equidigital number, since it uses as much as digits as its factorization.

12055049256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 12055049256960 in words is "twelve trillion, fifty-five billion, forty-nine million, two hundred fifty-six thousand, nine hundred sixty".