12593807616 has 144 divisors (see below), whose sum is σ = 36375514560. Its totient is φ = 3845038080.

The previous prime is 12593807581. The next prime is 12593807617. The reversal of 12593807616 is 61670839521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12593807617) 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 15 ways as a sum of consecutive naturals, for example, 1303090 + ... + 1312718.

It is an arithmetic number, because the mean of its divisors is an integer number (252607740).

Almost surely, 2^12593807616 is an apocalyptic number.

12593807616 is a gapful number since it is divisible by the number (16) 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 12593807616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18187757280).

12593807616 is an abundant number, since it is smaller than the sum of its proper divisors (23781706944).

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

12593807616 is a wasteful number, since it uses less digits than its factorization.

12593807616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9792 (or 9778 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 12593807616 in words is "twelve billion, five hundred ninety-three million, eight hundred seven thousand, six hundred sixteen".