12927672576 has 1080 divisors, whose sum is σ = 52139856384. Its totient is φ = 3105423360.

The previous prime is 12927672551. The next prime is 12927672587. The reversal of 12927672576 is 67527672921.

It is a happy number.

12927672576 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 7 + 67 + 2 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 417021681 + ... + 417021711.

Almost surely, 2^12927672576 is an apocalyptic number.

12927672576 is a gapful number since it is divisible by the number (16) 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 12927672576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26069928192).

12927672576 is an abundant number, since it is smaller than the sum of its proper divisors (39212183808).

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

12927672576 is a wasteful number, since it uses less digits than its factorization.

12927672576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 73 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The spelling of 12927672576 in words is "twelve billion, nine hundred twenty-seven million, six hundred seventy-two thousand, five hundred seventy-six".