13530324489264 has 320 divisors, whose sum is σ = 42639681600000. Its totient is φ = 4073849717760.

The previous prime is 13530324489259. The next prime is 13530324489281. The reversal of 13530324489264 is 46298442303531.

13530324489264 is a `hidden beast` number, since 1 + 3 + 5 + 303 + 244 + 8 + 92 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13530324489264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 543003334 + ... + 543028250.

It is an arithmetic number, because the mean of its divisors is an integer number (133249005000).

Almost surely, 2^{13530324489264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13530324489264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21319840800000).

13530324489264 is an abundant number, since it is smaller than the sum of its proper divisors (29109357110736).

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

13530324489264 is a wasteful number, since it uses less digits than its factorization.

13530324489264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25673 (or 25661 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 13530324489264 in words is "thirteen trillion, five hundred thirty billion, three hundred twenty-four million, four hundred eighty-nine thousand, two hundred sixty-four".