13058055504 has 240 divisors, whose sum is σ = 43110522000. Its totient is φ = 3650863104.

The previous prime is 13058055499. The next prime is 13058055551. The reversal of 13058055504 is 40555085031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 683717904 + 12374337600 = 26148^2 + 111240^2 .

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

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 47 ways as a sum of consecutive naturals, for example, 915822 + ... + 929970.

It is an arithmetic number, because the mean of its divisors is an integer number (179627175).

Almost surely, 2^13058055504 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 13058055504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21555261000).

13058055504 is an abundant number, since it is smaller than the sum of its proper divisors (30052466496).

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

13058055504 is a wasteful number, since it uses less digits than its factorization.

13058055504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14222 (or 14213 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 13058055504 in words is "thirteen billion, fifty-eight million, fifty-five thousand, five hundred four".