13268328006240 has 576 divisors, whose sum is σ = 51320274969600. Its totient is φ = 3101344284672.

The previous prime is 13268328006203. The next prime is 13268328006277. The reversal of 13268328006240 is 4260082386231.

13268328006240 is a `hidden beast` number, since 1 + 3 + 268 + 328 + 0 + 0 + 62 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13268328006203) and next prime (13268328006277).

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 27200329 + ... + 27683831.

It is an arithmetic number, because the mean of its divisors is an integer number (89097699600).

Almost surely, 2^{13268328006240} is an apocalyptic number.

13268328006240 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 13268328006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25660137484800).

13268328006240 is an abundant number, since it is smaller than the sum of its proper divisors (38051946963360).

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

13268328006240 is a wasteful number, since it uses less digits than its factorization.

13268328006240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483619 (or 483608 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 13268328006240 in words is "thirteen trillion, two hundred sixty-eight billion, three hundred twenty-eight million, six thousand, two hundred forty".