13283359060608 has 1536 divisors, whose sum is σ = 51448928993280. Its totient is φ = 3317129625600.

The previous prime is 13283359060597. The next prime is 13283359060679. The reversal of 13283359060608 is 80606095338231.

It is a happy number.

13283359060608 is a `hidden beast` number, since 1 + 3 + 28 + 3 + 3 + 5 + 9 + 0 + 6 + 0 + 608 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 4123984438 + ... + 4123987658.

It is an arithmetic number, because the mean of its divisors is an integer number (33495396480).

Almost surely, 2^{13283359060608} is an apocalyptic number.

13283359060608 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 13283359060608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25724464496640).

13283359060608 is an abundant number, since it is smaller than the sum of its proper divisors (38165569932672).

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

13283359060608 is a wasteful number, since it uses less digits than its factorization.

13283359060608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 13283359060608 in words is "thirteen trillion, two hundred eighty-three billion, three hundred fifty-nine million, sixty thousand, six hundred eight".