13058608640 has 320 divisors, whose sum is σ = 40313991168. Its totient is φ = 3937075200.

The previous prime is 13058608637. The next prime is 13058608663. The reversal of 13058608640 is 4680685031.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×13058608640² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6109652 + ... + 6111788.

Almost surely, 2^13058608640 is an apocalyptic number.

13058608640 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 13058608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20156995584).

13058608640 is an abundant number, since it is smaller than the sum of its proper divisors (27255382528).

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

13058608640 is a wasteful number, since it uses less digits than its factorization.

13058608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 13058608640 in words is "thirteen billion, fifty-eight million, six hundred eight thousand, six hundred forty".