12609168076800 has 1872 divisors, whose sum is σ = 49311783218880. Its totient is φ = 3071803392000.

The previous prime is 12609168076751. The next prime is 12609168076811. The reversal of 12609168076800 is 867086190621.

12609168076800 is a `hidden beast` number, since 12 + 609 + 16 + 8 + 0 + 7 + 6 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×12609168076800² (a number of 27 digits) contains 22 as substring.

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, 40543948645 + ... + 40543948955.

It is an arithmetic number, because the mean of its divisors is an integer number (26341764540).

Almost surely, 2^{12609168076800} is an apocalyptic number.

12609168076800 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 12609168076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24655891609440).

12609168076800 is an abundant number, since it is smaller than the sum of its proper divisors (36702615142080).

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

12609168076800 is a wasteful number, since it uses less digits than its factorization.

12609168076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 12609168076800 in words is "twelve trillion, six hundred nine billion, one hundred sixty-eight million, seventy-six thousand, eight hundred".