12627727060032 has 448 divisors, whose sum is σ = 42741039882240. Its totient is φ = 3581235320832.

The previous prime is 12627727060027. The next prime is 12627727060033. The reversal of 12627727060032 is 23006072772621.

12627727060032 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 7 + 7 + 2 + 7 + 0 + 600 + 32 = 666.

12627727060032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 12627727060032.

It is not an unprimeable number, because it can be changed into a prime (12627727060033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1561480693 + ... + 1561488779.

It is an arithmetic number, because the mean of its divisors is an integer number (95404106880).

Almost surely, 2^{12627727060032} is an apocalyptic number.

12627727060032 is a gapful number since it is divisible by the number (12) 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 12627727060032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21370519941120).

12627727060032 is an abundant number, since it is smaller than the sum of its proper divisors (30113312822208).

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

12627727060032 is a wasteful number, since it uses less digits than its factorization.

12627727060032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9055 (or 9039 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 12627727060032 in words is "twelve trillion, six hundred twenty-seven billion, seven hundred twenty-seven million, sixty thousand, thirty-two".