12580881160 has 128 divisors (see below), whose sum is σ = 30723235200. Its totient is φ = 4620810240.

The previous prime is 12580881151. The next prime is 12580881167. The reversal of 12580881160 is 6118808521.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (12580881167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5077842 + ... + 5080318.

It is an arithmetic number, because the mean of its divisors is an integer number (240025275).

Almost surely, 2^12580881160 is an apocalyptic number.

12580881160 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 12580881160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361617600).

12580881160 is an abundant number, since it is smaller than the sum of its proper divisors (18142354040).

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

12580881160 is a wasteful number, since it uses less digits than its factorization.

12580881160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 40.

The spelling of 12580881160 in words is "twelve billion, five hundred eighty million, eight hundred eighty-one thousand, one hundred sixty".