13117870584 has 288 divisors, whose sum is σ = 44193445920. Its totient is φ = 3441844224.

The previous prime is 13117870567. The next prime is 13117870589. The reversal of 13117870584 is 48507871131.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13117870589) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28704084 + ... + 28704540.

It is an arithmetic number, because the mean of its divisors is an integer number (153449465).

Almost surely, 2^13117870584 is an apocalyptic number.

13117870584 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 13117870584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22096722960).

13117870584 is an abundant number, since it is smaller than the sum of its proper divisors (31075575336).

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

13117870584 is a wasteful number, since it uses less digits than its factorization.

13117870584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 13117870584 in words is "thirteen billion, one hundred seventeen million, eight hundred seventy thousand, five hundred eighty-four".