13058411520 has 704 divisors, whose sum is σ = 53218593792. Its totient is φ = 2654208000.

The previous prime is 13058411473. The next prime is 13058411533. The reversal of 13058411520 is 2511485031.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×13058411520² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72145830 + ... + 72146010.

Almost surely, 2^13058411520 is an apocalyptic number.

13058411520 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 13058411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26609296896).

13058411520 is an abundant number, since it is smaller than the sum of its proper divisors (40160182272).

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

13058411520 is a wasteful number, since it uses less digits than its factorization.

13058411520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 13058411520 its reverse (2511485031), we get a palindrome (15569896551).

The spelling of 13058411520 in words is "thirteen billion, fifty-eight million, four hundred eleven thousand, five hundred twenty".