13507987584 has 448 divisors, whose sum is σ = 47040719040. Its totient is φ = 3407652864.

The previous prime is 13507987573. The next prime is 13507987601. The reversal of 13507987584 is 48578970531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 587303797 + ... + 587303819.

It is an arithmetic number, because the mean of its divisors is an integer number (105001605).

Almost surely, 2^13507987584 is an apocalyptic number.

13507987584 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 13507987584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23520359520).

13507987584 is an abundant number, since it is smaller than the sum of its proper divisors (33532731456).

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

13507987584 is an frugal number, since it uses more digits than its factorization.

13507987584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 57.

The spelling of 13507987584 in words is "thirteen billion, five hundred seven million, nine hundred eighty-seven thousand, five hundred eighty-four".