12672159696 has 400 divisors, whose sum is σ = 44291808000. Its totient is φ = 3492211968.

The previous prime is 12672159679. The next prime is 12672159697. The reversal of 12672159696 is 69695127621.

12672159696 is a `hidden beast` number, since 1 + 26 + 7 + 21 + 596 + 9 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12672159697) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 12890821 + ... + 12891803.

It is an arithmetic number, because the mean of its divisors is an integer number (110729520).

Almost surely, 2^12672159696 is an apocalyptic number.

12672159696 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 12672159696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22145904000).

12672159696 is an abundant number, since it is smaller than the sum of its proper divisors (31619648304).

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

12672159696 is an equidigital number, since it uses as much as digits as its factorization.

12672159696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1024 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 12672159696 in words is "twelve billion, six hundred seventy-two million, one hundred fifty-nine thousand, six hundred ninety-six".