13104800064 has 168 divisors, whose sum is σ = 39841139520. Its totient is φ = 4104179712.

The previous prime is 13104800003. The next prime is 13104800143. The reversal of 13104800064 is 46000840131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10408267 + ... + 10409525.

It is an arithmetic number, because the mean of its divisors is an integer number (237149640).

Almost surely, 2^13104800064 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 13104800064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19920569760).

13104800064 is an abundant number, since it is smaller than the sum of its proper divisors (26736339456).

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

13104800064 is a wasteful number, since it uses less digits than its factorization.

13104800064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 13104800064 in words is "thirteen billion, one hundred four million, eight hundred thousand, sixty-four".