12879949680 has 360 divisors, whose sum is σ = 47215879776. Its totient is φ = 3144960000.

The previous prime is 12879949679. The next prime is 12879949681. The reversal of 12879949680 is 8694997821.

It is an interprime number because it is at equal distance from previous prime (12879949679) and next prime (12879949681).

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12879949681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18373330 + ... + 18374030.

Almost surely, 2^12879949680 is an apocalyptic number.

12879949680 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 12879949680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23607939888).

12879949680 is an abundant number, since it is smaller than the sum of its proper divisors (34335930096).

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

12879949680 is a wasteful number, since it uses less digits than its factorization.

12879949680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 12879949680 in words is "twelve billion, eight hundred seventy-nine million, nine hundred forty-nine thousand, six hundred eighty".