12979435560 has 512 divisors, whose sum is σ = 49545216000. Its totient is φ = 2702730240.

The previous prime is 12979435549. The next prime is 12979435571. The reversal of 12979435560 is 6553497921.

It is an interprime number because it is at equal distance from previous prime (12979435549) and next prime (12979435571).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67955065 + ... + 67955255.

It is an arithmetic number, because the mean of its divisors is an integer number (96768000).

Almost surely, 2^12979435560 is an apocalyptic number.

12979435560 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 12979435560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24772608000).

12979435560 is an abundant number, since it is smaller than the sum of its proper divisors (36565780440).

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

12979435560 is a wasteful number, since it uses less digits than its factorization.

12979435560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 12979435560 in words is "twelve billion, nine hundred seventy-nine million, four hundred thirty-five thousand, five hundred sixty".