13504610304 has 252 divisors, whose sum is σ = 41221600056. Its totient is φ = 4416602112.

The previous prime is 13504610269. The next prime is 13504610311. The reversal of 13504610304 is 40301640531.

13504610304 is a `hidden beast` number, since 1 + 350 + 4 + 6 + 1 + 0 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 254803942 + ... + 254803994.

It is an arithmetic number, because the mean of its divisors is an integer number (163577778).

Almost surely, 2^13504610304 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 13504610304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20610800028).

13504610304 is an abundant number, since it is smaller than the sum of its proper divisors (27716989752).

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

13504610304 is an frugal number, since it uses more digits than its factorization.

13504610304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 13504610304 in words is "thirteen billion, five hundred four million, six hundred ten thousand, three hundred four".