13058853984 has 144 divisors (see below), whose sum is σ = 40914239184. Its totient is φ = 3917952000.

The previous prime is 13058853959. The next prime is 13058854001. The reversal of 13058853984 is 48935885031.

13058853984 is a `hidden beast` number, since 1 + 3 + 0 + 588 + 53 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 13058853984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299562 + ... + 340374.

It is an arithmetic number, because the mean of its divisors is an integer number (284126661).

Almost surely, 2^13058853984 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 13058853984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20457119592).

13058853984 is an abundant number, since it is smaller than the sum of its proper divisors (27855385200).

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

13058853984 is a wasteful number, since it uses less digits than its factorization.

13058853984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40941 (or 40930 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 13058853984 in words is "thirteen billion, fifty-eight million, eight hundred fifty-three thousand, nine hundred eighty-four".