13004608500 has 576 divisors, whose sum is σ = 46706429952. Its totient is φ = 3024000000.

The previous prime is 13004608481. The next prime is 13004608517. The reversal of 13004608500 is 580640031.

13004608500 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 4 + 608 + 50 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 128758450 + ... + 128758550.

It is an arithmetic number, because the mean of its divisors is an integer number (81087552).

Almost surely, 2^13004608500 is an apocalyptic number.

13004608500 is a gapful number since it is divisible by the number (10) 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 13004608500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23353214976).

13004608500 is an abundant number, since it is smaller than the sum of its proper divisors (33701821452).

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

13004608500 is a wasteful number, since it uses less digits than its factorization.

13004608500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 13004608500 in words is "thirteen billion, four million, six hundred eight thousand, five hundred".