12580000000 has 288 divisors, whose sum is σ = 34133115744. Its totient is φ = 4608000000.

The previous prime is 12579999973. The next prime is 12580000007. The reversal of 12580000000 is 8521.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 9538256896 + 3041743104 = 97664^2 + 55152^2 .

It is a sliding number, since 12580000000 = 80000000 + 12500000000 and 1/80000000 + 1/12500000000 = 0.000000012580000000.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12580000007) 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, 339999982 + ... + 340000018.

It is an arithmetic number, because the mean of its divisors is an integer number (118517763).

Almost surely, 2^12580000000 is an apocalyptic number.

12580000000 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 12580000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17066557872).

12580000000 is an abundant number, since it is smaller than the sum of its proper divisors (21553115744).

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

12580000000 is an frugal number, since it uses more digits than its factorization.

12580000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 12580000000 its reverse (8521), we get a palindrome (12580008521).

It can be divided in two parts, 125 and 80000000, that multiplied together give a 10-th power (10000000000 = 10¹⁰).

The spelling of 12580000000 in words is "twelve billion, five hundred eighty million", and thus it is an aban number.