12580323840 has 720 divisors, whose sum is σ = 52189106112. Its totient is φ = 2848628736.

The previous prime is 12580323827. The next prime is 12580323841. The reversal of 12580323840 is 4832308521.

12580323840 is a `hidden beast` number, since 1 + 2 + 580 + 3 + 2 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 12580323795 and 12580323804.

It is not an unprimeable number, because it can be changed into a prime (12580323841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117573067 + ... + 117573173.

Almost surely, 2^12580323840 is an apocalyptic number.

12580323840 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 12580323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26094553056).

12580323840 is an abundant number, since it is smaller than the sum of its proper divisors (39608782272).

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

12580323840 is an frugal number, since it uses more digits than its factorization.

12580323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12580323840 in words is "twelve billion, five hundred eighty million, three hundred twenty-three thousand, eight hundred forty".