12594113280 has 1080 divisors, whose sum is σ = 54641785968. Its totient is φ = 2759049216.

The previous prime is 12594113249. The next prime is 12594113293. The reversal of 12594113280 is 8231149521.

12594113280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×12594113280² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 187971807 + ... + 187971873.

Almost surely, 2^12594113280 is an apocalyptic number.

12594113280 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 12594113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27320892984).

12594113280 is an abundant number, since it is smaller than the sum of its proper divisors (42047672688).

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

12594113280 is an equidigital number, since it uses as much as digits as its factorization.

12594113280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 12594113280 in words is "twelve billion, five hundred ninety-four million, one hundred thirteen thousand, two hundred eighty".