12919068960 has 288 divisors, whose sum is σ = 48069334656. Its totient is φ = 2856960000.

The previous prime is 12919068949. The next prime is 12919068977. The reversal of 12919068960 is 6986091921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3226960 + ... + 3230960.

It is an arithmetic number, because the mean of its divisors is an integer number (166907412).

Almost surely, 2^12919068960 is an apocalyptic number.

12919068960 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 12919068960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24034667328).

12919068960 is an abundant number, since it is smaller than the sum of its proper divisors (35150265696).

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

12919068960 is a wasteful number, since it uses less digits than its factorization.

12919068960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 51.

The spelling of 12919068960 in words is "twelve billion, nine hundred nineteen million, sixty-eight thousand, nine hundred sixty".