13580133735168 has 972 divisors, whose sum is σ = 53916443044464. Its totient is φ = 3255933542400.

The previous prime is 13580133735131. The next prime is 13580133735169. The reversal of 13580133735168 is 86153733108531.

It is a happy number.

13580133735168 is a `hidden beast` number, since 1 + 3 + 5 + 80 + 13 + 37 + 3 + 516 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (13580133735169) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 177547173 + ... + 177623643.

Almost surely, 2^{13580133735168} is an apocalyptic number.

13580133735168 is a gapful number since it is divisible by the number (18) 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 13580133735168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26958221522232).

13580133735168 is an abundant number, since it is smaller than the sum of its proper divisors (40336309309296).

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

13580133735168 is a wasteful number, since it uses less digits than its factorization.

13580133735168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76542 (or 76507 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 13580133735168 in words is "thirteen trillion, five hundred eighty billion, one hundred thirty-three million, seven hundred thirty-five thousand, one hundred sixty-eight".