12958668800 has 576 divisors, whose sum is σ = 42409785600. Its totient is φ = 3804364800.

The previous prime is 12958668799. The next prime is 12958668839. The reversal of 12958668800 is 886685921.

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, 74905514 + ... + 74905686.

It is an arithmetic number, because the mean of its divisors is an integer number (73628100).

Almost surely, 2^12958668800 is an apocalyptic number.

12958668800 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 12958668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21204892800).

12958668800 is an abundant number, since it is smaller than the sum of its proper divisors (29451116800).

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

12958668800 is a wasteful number, since it uses less digits than its factorization.

12958668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 53.

The spelling of 12958668800 in words is "twelve billion, nine hundred fifty-eight million, six hundred sixty-eight thousand, eight hundred".