13075387584 has 112 divisors (see below), whose sum is σ = 39563040000. Its totient is φ = 3733410816.

The previous prime is 13075387547. The next prime is 13075387597. The reversal of 13075387584 is 48578357031.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3692887 + ... + 3696425.

Almost surely, 2^13075387584 is an apocalyptic number.

13075387584 is a gapful number since it is divisible by the number (14) 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 13075387584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19781520000).

13075387584 is an abundant number, since it is smaller than the sum of its proper divisors (26487652416).

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

13075387584 is a wasteful number, since it uses less digits than its factorization.

13075387584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6310 (or 6300 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 13075387584 in words is "thirteen billion, seventy-five million, three hundred eighty-seven thousand, five hundred eighty-four".