12581036960 has 192 divisors, whose sum is σ = 32277813120. Its totient is φ = 4618321920.

The previous prime is 12581036959. The next prime is 12581036977. The reversal of 12581036960 is 6963018521.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24055259 + ... + 24055781.

It is an arithmetic number, because the mean of its divisors is an integer number (168113610).

Almost surely, 2^12581036960 is an apocalyptic number.

12581036960 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 12581036960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16138906560).

12581036960 is an abundant number, since it is smaller than the sum of its proper divisors (19696776160).

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

12581036960 is a wasteful number, since it uses less digits than its factorization.

12581036960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The spelling of 12581036960 in words is "twelve billion, five hundred eighty-one million, thirty-six thousand, nine hundred sixty".