13068348330240 has 1152 divisors, whose sum is σ = 54684269445120. Its totient is φ = 2892845187072.

The previous prime is 13068348330229. The next prime is 13068348330241. The reversal of 13068348330240 is 4203384386031.

13068348330240 is a `hidden beast` number, since 1 + 3 + 0 + 68 + 348 + 3 + 3 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (13068348330241) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1996078647 + ... + 1996085193.

Almost surely, 2^{13068348330240} is an apocalyptic number.

13068348330240 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 13068348330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27342134722560).

13068348330240 is an abundant number, since it is smaller than the sum of its proper divisors (41615921114880).

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

13068348330240 is a wasteful number, since it uses less digits than its factorization.

13068348330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6844 (or 6824 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 13068348330240 in words is "thirteen trillion, sixty-eight billion, three hundred forty-eight million, three hundred thirty thousand, two hundred forty".