12560058400 has 72 divisors (see below), whose sum is σ = 30728814480. Its totient is φ = 5013116160.

The previous prime is 12560058347. The next prime is 12560058403. The reversal of 12560058400 is 485006521.

It is a super-2 number, since 2×12560058400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12560058403) 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 11 ways as a sum of consecutive naturals, for example, 356791 + ... + 390409.

It is an arithmetic number, because the mean of its divisors is an integer number (426789090).

Almost surely, 2^12560058400 is an apocalyptic number.

12560058400 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 12560058400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15364407240).

12560058400 is an abundant number, since it is smaller than the sum of its proper divisors (18168756080).

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

12560058400 is a wasteful number, since it uses less digits than its factorization.

12560058400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34106 (or 34093 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 12560058400 in words is "twelve billion, five hundred sixty million, fifty-eight thousand, four hundred".