12558610468320 has 576 divisors, whose sum is σ = 47357303132160. Its totient is φ = 2739836067840.

The previous prime is 12558610468279. The next prime is 12558610468421. The reversal of 12558610468320 is 2386401685521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235687441 + ... + 235740719.

It is an arithmetic number, because the mean of its divisors is an integer number (82217540160).

Almost surely, 2^{12558610468320} is an apocalyptic number.

12558610468320 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 12558610468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23678651566080).

12558610468320 is an abundant number, since it is smaller than the sum of its proper divisors (34798692663840).

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

12558610468320 is a wasteful number, since it uses less digits than its factorization.

12558610468320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53439 (or 53400 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 12558610468320 in words is "twelve trillion, five hundred fifty-eight billion, six hundred ten million, four hundred sixty-eight thousand, three hundred twenty".