12527643079168 has 80 divisors (see below), whose sum is σ = 28610510417280. Its totient is φ = 5368265220096.

The previous prime is 12527643079123. The next prime is 12527643079183. The reversal of 12527643079168 is 86197034672521.

It is a super-2 number, since 2×12527643079168² (a number of 27 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 26751805 + ... + 27216067.

It is an arithmetic number, because the mean of its divisors is an integer number (357631380216).

It is a 1-persistent number, because it is pandigital, but 2⋅12527643079168 = 25055286158336 is not.

Almost surely, 2^{12527643079168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12527643079168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14305255208640).

12527643079168 is an abundant number, since it is smaller than the sum of its proper divisors (16082867338112).

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

12527643079168 is an frugal number, since it uses more digits than its factorization.

12527643079168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471817 (or 471801 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 61.

The spelling of 12527643079168 in words is "twelve trillion, five hundred twenty-seven billion, six hundred forty-three million, seventy-nine thousand, one hundred sixty-eight".