12599608320 has 1056 divisors, whose sum is σ = 52574820480. Its totient is φ = 2866544640.

The previous prime is 12599608313. The next prime is 12599608369. The reversal of 12599608320 is 2380699521.

12599608320 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 9 + 608 + 32 + 0 = 666.

12599608320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 307307500 + ... + 307307540.

Almost surely, 2^12599608320 is an apocalyptic number.

12599608320 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 12599608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26287410240).

12599608320 is an abundant number, since it is smaller than the sum of its proper divisors (39975212160).

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

12599608320 is a wasteful number, since it uses less digits than its factorization.

12599608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 12599608320 in words is "twelve billion, five hundred ninety-nine million, six hundred eight thousand, three hundred twenty".