12879139966880 has 768 divisors, whose sum is σ = 37277459089920. Its totient is φ = 4183990272000.

The previous prime is 12879139966871. The next prime is 12879139966883. The reversal of 12879139966880 is 8866993197821.

It is a super-3 number, since 3×12879139966880³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12879139966883) 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 127 ways as a sum of consecutive naturals, for example, 6404345075 + ... + 6404347085.

It is an arithmetic number, because the mean of its divisors is an integer number (48538358190).

Almost surely, 2^{12879139966880} is an apocalyptic number.

12879139966880 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 12879139966880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18638729544960).

12879139966880 is an abundant number, since it is smaller than the sum of its proper divisors (24398319123040).

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

12879139966880 is a wasteful number, since it uses less digits than its factorization.

12879139966880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 77.

The spelling of 12879139966880 in words is "twelve trillion, eight hundred seventy-nine billion, one hundred thirty-nine million, nine hundred sixty-six thousand, eight hundred eighty".