12509880418560 has 576 divisors, whose sum is σ = 46772542881792. Its totient is φ = 2790163611648.

The previous prime is 12509880418547. The next prime is 12509880418579. The reversal of 12509880418560 is 6581408890521.

It is a self number, because there is not a number n which added to its sum of digits gives 12509880418560.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 425737629 + ... + 425767011.

It is an arithmetic number, because the mean of its divisors is an integer number (81202331392).

Almost surely, 2^{12509880418560} is an apocalyptic number.

12509880418560 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 12509880418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23386271440896).

12509880418560 is an abundant number, since it is smaller than the sum of its proper divisors (34262662463232).

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

12509880418560 is a wasteful number, since it uses less digits than its factorization.

12509880418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29798 (or 29784 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 57.

The spelling of 12509880418560 in words is "twelve trillion, five hundred nine billion, eight hundred eighty million, four hundred eighteen thousand, five hundred sixty".