12580009344 has 384 divisors, whose sum is σ = 44402803200. Its totient is φ = 3434517504.

The previous prime is 12580009313. The next prime is 12580009349. The reversal of 12580009344 is 44390008521.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×12580009344³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12580009299 and 12580009308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12580009349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12797077 + ... + 12798059.

It is an arithmetic number, because the mean of its divisors is an integer number (115632300).

Almost surely, 2^12580009344 is an apocalyptic number.

12580009344 is a gapful number since it is divisible by the number (14) 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 12580009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22201401600).

12580009344 is an abundant number, since it is smaller than the sum of its proper divisors (31822793856).

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

12580009344 is an equidigital number, since it uses as much as digits as its factorization.

12580009344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12580009344 in words is "twelve billion, five hundred eighty million, nine thousand, three hundred forty-four".