12518644320 has 576 divisors, whose sum is σ = 53258010624. Its totient is φ = 2607206400.

The previous prime is 12518644289. The next prime is 12518644357. The reversal of 12518644320 is 2344681521.

It is a happy number.

12518644320 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 8 + 644 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×12518644320² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10875745 + ... + 10876895.

It is an arithmetic number, because the mean of its divisors is an integer number (92461824).

Almost surely, 2^12518644320 is an apocalyptic number.

12518644320 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 12518644320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26629005312).

12518644320 is an abundant number, since it is smaller than the sum of its proper divisors (40739366304).

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

12518644320 is a wasteful number, since it uses less digits than its factorization.

12518644320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12518644320 in words is "twelve billion, five hundred eighteen million, six hundred forty-four thousand, three hundred twenty".