13058454528 has 704 divisors, whose sum is σ = 48341952000. Its totient is φ = 3511517184.

The previous prime is 13058454523. The next prime is 13058454533. The reversal of 13058454528 is 82545485031.

13058454528 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 84 + 545 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (13058454523) and next prime (13058454533).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13058454523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 768144376 + ... + 768144392.

Almost surely, 2^13058454528 is an apocalyptic number.

13058454528 is a gapful number since it is divisible by the number (18) 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 13058454528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24170976000).

13058454528 is an abundant number, since it is smaller than the sum of its proper divisors (35283497472).

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

13058454528 is an frugal number, since it uses more digits than its factorization.

13058454528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 13058454528 in words is "thirteen billion, fifty-eight million, four hundred fifty-four thousand, five hundred twenty-eight".