12979827840 has 256 divisors, whose sum is σ = 47575019520. Its totient is φ = 2948542464.

The previous prime is 12979827799. The next prime is 12979827857. The reversal of 12979827840 is 4872897921.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2241589 + ... + 2247371.

It is an arithmetic number, because the mean of its divisors is an integer number (185839920).

Almost surely, 2^12979827840 is an apocalyptic number.

12979827840 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 12979827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23787509760).

12979827840 is an abundant number, since it is smaller than the sum of its proper divisors (34595191680).

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

12979827840 is a wasteful number, since it uses less digits than its factorization.

12979827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5979 (or 5967 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 12979827840 in words is "twelve billion, nine hundred seventy-nine million, eight hundred twenty-seven thousand, eight hundred forty".