12968400960 has 672 divisors, whose sum is σ = 49583888640. Its totient is φ = 3099672576.

The previous prime is 12968400899. The next prime is 12968401007. The reversal of 12968400960 is 6900486921.

It is a happy number.

12968400960 is a `hidden beast` number, since 129 + 68 + 400 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82601202 + ... + 82601358.

Almost surely, 2^12968400960 is an apocalyptic number.

12968400960 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 12968400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24791944320).

12968400960 is an abundant number, since it is smaller than the sum of its proper divisors (36615487680).

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

12968400960 is a wasteful number, since it uses less digits than its factorization.

12968400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 12968400960 in words is "twelve billion, nine hundred sixty-eight million, four hundred thousand, nine hundred sixty".