12979408896 has 520 divisors, whose sum is σ = 42815995200. Its totient is φ = 3901685760.

The previous prime is 12979408861. The next prime is 12979408927. The reversal of 12979408896 is 69880497921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 182808541 + ... + 182808611.

Almost surely, 2^12979408896 is an apocalyptic number.

12979408896 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 12979408896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21407997600).

12979408896 is an abundant number, since it is smaller than the sum of its proper divisors (29836586304).

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

12979408896 is an equidigital number, since it uses as much as digits as its factorization.

12979408896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 124 counting only the distinct ones).

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

It can be divided in two parts, 12979 and 408896, that added together give a cube (421875 = 75³).

The spelling of 12979408896 in words is "twelve billion, nine hundred seventy-nine million, four hundred eight thousand, eight hundred ninety-six".