12594779009280 has 1440 divisors, whose sum is σ = 51129967198464. Its totient is φ = 2936971395072.

The previous prime is 12594779009237. The next prime is 12594779009297. The reversal of 12594779009280 is 8290097749521.

12594779009280 is a `hidden beast` number, since 1 + 2 + 59 + 477 + 90 + 0 + 9 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×12594779009280² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3317032342 + ... + 3317036138.

Almost surely, 2^{12594779009280} is an apocalyptic number.

12594779009280 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 12594779009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25564983599232).

12594779009280 is an abundant number, since it is smaller than the sum of its proper divisors (38535188189184).

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

12594779009280 is a wasteful number, since it uses less digits than its factorization.

12594779009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3973 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 12594779009280 in words is "twelve trillion, five hundred ninety-four billion, seven hundred seventy-nine million, nine thousand, two hundred eighty".