12588559338960 has 960 divisors, whose sum is σ = 48280199869440. Its totient is φ = 2989675422720.

The previous prime is 12588559338913. The next prime is 12588559338989. The reversal of 12588559338960 is 6983395588521.

12588559338960 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 8 + 559 + 3 + 3 + 8 + 9 + 60 = 666.

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 191 ways as a sum of consecutive naturals, for example, 41005079127 + ... + 41005079433.

It is an arithmetic number, because the mean of its divisors is an integer number (50291874864).

Almost surely, 2^{12588559338960} is an apocalyptic number.

12588559338960 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 12588559338960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24140099934720).

12588559338960 is an abundant number, since it is smaller than the sum of its proper divisors (35691640530480).

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

12588559338960 is a wasteful number, since it uses less digits than its factorization.

12588559338960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 559872000, while the sum is 72.

The spelling of 12588559338960 in words is "twelve trillion, five hundred eighty-eight billion, five hundred fifty-nine million, three hundred thirty-eight thousand, nine hundred sixty".