12659144603040 has 672 divisors, whose sum is σ = 48335993712720. Its totient is φ = 3113103310848.

The previous prime is 12659144603033. The next prime is 12659144603069. The reversal of 12659144603040 is 4030644195621.

12659144603040 is a `hidden beast` number, since 1 + 2 + 65 + 91 + 4 + 460 + 3 + 0 + 40 = 666.

12659144603040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4343372773776 + 8315771829264 = 2084076^2 + 2883708^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1863553884 + ... + 1863560676.

Almost surely, 2^{12659144603040} is an apocalyptic number.

12659144603040 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 12659144603040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24167996856360).

12659144603040 is an abundant number, since it is smaller than the sum of its proper divisors (35676849109680).

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

12659144603040 is a wasteful number, since it uses less digits than its factorization.

12659144603040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8068 (or 8045 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

Adding to 12659144603040 its reverse (4030644195621), we get a palindrome (16689788798661).

The spelling of 12659144603040 in words is "twelve trillion, six hundred fifty-nine billion, one hundred forty-four million, six hundred three thousand, forty".