13816587360 has 192 divisors, whose sum is σ = 45315087552. Its totient is φ = 3535405056.

The previous prime is 13816587353. The next prime is 13816587383. The reversal of 13816587360 is 6378561831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1291152 + ... + 1301808.

It is an arithmetic number, because the mean of its divisors is an integer number (236016081).

Almost surely, 2^13816587360 is an apocalyptic number.

13816587360 is a gapful number since it is divisible by the number (10) 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 13816587360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22657543776).

13816587360 is an abundant number, since it is smaller than the sum of its proper divisors (31498500192).

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

13816587360 is a wasteful number, since it uses less digits than its factorization.

13816587360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10785 (or 10777 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 13816587360 in words is "thirteen billion, eight hundred sixteen million, five hundred eighty-seven thousand, three hundred sixty".