12618511360 has 528 divisors, whose sum is σ = 39164939856. Its totient is φ = 3864526848.

The previous prime is 12618511337. The next prime is 12618511361. The reversal of 12618511360 is 6311581621.

It can be written as a sum of positive squares in 8 ways, for example, as 174662656 + 12443848704 = 13216^2 + 111552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12618511361) 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 47 ways as a sum of consecutive naturals, for example, 172856284 + ... + 172856356.

Almost surely, 2^12618511360 is an apocalyptic number.

12618511360 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 12618511360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19582469928).

12618511360 is an abundant number, since it is smaller than the sum of its proper divisors (26546428496).

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

12618511360 is a wasteful number, since it uses less digits than its factorization.

12618511360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The spelling of 12618511360 in words is "twelve billion, six hundred eighteen million, five hundred eleven thousand, three hundred sixty".