13104788335056 has 640 divisors, whose sum is σ = 43238169722880. Its totient is φ = 3761466508800.

The previous prime is 13104788335039. The next prime is 13104788335069. The reversal of 13104788335056 is 65053388740131.

13104788335056 is a `hidden beast` number, since 1 + 3 + 10 + 47 + 8 + 83 + 3 + 505 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13104788334993 and 13104788335011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11268089131 + ... + 11268090293.

It is an arithmetic number, because the mean of its divisors is an integer number (67559640192).

Almost surely, 2^{13104788335056} is an apocalyptic number.

13104788335056 is a gapful number since it is divisible by the number (16) 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 13104788335056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21619084861440).

13104788335056 is an abundant number, since it is smaller than the sum of its proper divisors (30133381387824).

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

13104788335056 is a wasteful number, since it uses less digits than its factorization.

13104788335056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 13104788335056 in words is "thirteen trillion, one hundred four billion, seven hundred eighty-eight million, three hundred thirty-five thousand, fifty-six".