13104260928 has 168 divisors, whose sum is σ = 41588557920. Its totient is φ = 3911592960.

The previous prime is 13104260891. The next prime is 13104260933. The reversal of 13104260928 is 82906240131.

13104260928 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 42 + 609 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13104260892 and 13104260901.

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, 409078 + ... + 439946.

It is an arithmetic number, because the mean of its divisors is an integer number (247550940).

Almost surely, 2^13104260928 is an apocalyptic number.

13104260928 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 13104260928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20794278960).

13104260928 is an abundant number, since it is smaller than the sum of its proper divisors (28484296992).

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

13104260928 is a wasteful number, since it uses less digits than its factorization.

13104260928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30965 (or 30952 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13104260928 in words is "thirteen billion, one hundred four million, two hundred sixty thousand, nine hundred twenty-eight".