12585740160 has 512 divisors, whose sum is σ = 48470400000. Its totient is φ = 2773327872.

The previous prime is 12585740159. The next prime is 12585740161. The reversal of 12585740160 is 6104758521.

It is an interprime number because it is at equal distance from previous prime (12585740159) and next prime (12585740161).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12585740161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19097911 + ... + 19098569.

It is an arithmetic number, because the mean of its divisors is an integer number (94668750).

Almost surely, 2^12585740160 is an apocalyptic number.

12585740160 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 12585740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24235200000).

12585740160 is an abundant number, since it is smaller than the sum of its proper divisors (35884659840).

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

12585740160 is an equidigital number, since it uses as much as digits as its factorization.

12585740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 12585740160 in words is "twelve billion, five hundred eighty-five million, seven hundred forty thousand, one hundred sixty".