12559106880 has 672 divisors, whose sum is σ = 47290134528. Its totient is φ = 3052339200.

The previous prime is 12559106873. The next prime is 12559106891. The reversal of 12559106880 is 8860195521.

It is a happy number.

12559106880 is a `hidden beast` number, since 1 + 2 + 559 + 10 + 6 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 172042524 + ... + 172042596.

It is an arithmetic number, because the mean of its divisors is an integer number (70372224).

Almost surely, 2^12559106880 is an apocalyptic number.

12559106880 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 12559106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23645067264).

12559106880 is an abundant number, since it is smaller than the sum of its proper divisors (34731027648).

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

12559106880 is a wasteful number, since it uses less digits than its factorization.

12559106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 12559106880 in words is "twelve billion, five hundred fifty-nine million, one hundred six thousand, eight hundred eighty".