13330060323840 has 2816 divisors, whose sum is σ = 56434158950400. Its totient is φ = 2953687597056.

The previous prime is 13330060323829. The next prime is 13330060323907. The reversal of 13330060323840 is 4832306003331.

13330060323840 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 0 + 0 + 603 + 2 + 3 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13330060323795 and 13330060323804.

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 255 ways as a sum of consecutive naturals, for example, 95899714491 + ... + 95899714629.

It is an arithmetic number, because the mean of its divisors is an integer number (20040539400).

Almost surely, 2^{13330060323840} is an apocalyptic number.

13330060323840 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 13330060323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28217079475200).

13330060323840 is an abundant number, since it is smaller than the sum of its proper divisors (43104098626560).

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

13330060323840 is a wasteful number, since it uses less digits than its factorization.

13330060323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 13330060323840 in words is "thirteen trillion, three hundred thirty billion, sixty million, three hundred twenty-three thousand, eight hundred forty".