13659533468280 has 1536 divisors, whose sum is σ = 55980431769600. Its totient is φ = 2818619596800.

The previous prime is 13659533468279. The next prime is 13659533468381. The reversal of 13659533468280 is 8286433595631.

It is a happy number.

13659533468280 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 9 + 5 + 3 + 346 + 8 + 280 = 666.

It is a super-2 number, since 2×13659533468280² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 43921329325 + ... + 43921329635.

It is an arithmetic number, because the mean of its divisors is an integer number (36445593600).

Almost surely, 2^{13659533468280} is an apocalyptic number.

13659533468280 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 13659533468280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27990215884800).

13659533468280 is an abundant number, since it is smaller than the sum of its proper divisors (42320898301320).

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

13659533468280 is a wasteful number, since it uses less digits than its factorization.

13659533468280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 13659533468280 in words is "thirteen trillion, six hundred fifty-nine billion, five hundred thirty-three million, four hundred sixty-eight thousand, two hundred eighty".