12989338876800 has 1152 divisors, whose sum is σ = 55480225600800. Its totient is φ = 2851813785600.

The previous prime is 12989338876793. The next prime is 12989338876861. The reversal of 12989338876800 is 867883398921.

12989338876800 is a `hidden beast` number, since 1 + 2 + 98 + 93 + 388 + 76 + 8 + 0 + 0 = 666.

12989338876800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 218245446 + ... + 218304954.

Almost surely, 2^{12989338876800} is an apocalyptic number.

12989338876800 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 12989338876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27740112800400).

12989338876800 is an abundant number, since it is smaller than the sum of its proper divisors (42490886724000).

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

12989338876800 is a wasteful number, since it uses less digits than its factorization.

12989338876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59616 (or 59596 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 12989338876800 in words is "twelve trillion, nine hundred eighty-nine billion, three hundred thirty-eight million, eight hundred seventy-six thousand, eight hundred".