13638558120 has 256 divisors, whose sum is σ = 45819924480. Its totient is φ = 3219686400.

The previous prime is 13638558113. The next prime is 13638558121. The reversal of 13638558120 is 2185583631.

It is not an unprimeable number, because it can be changed into a prime (13638558121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8614849 + ... + 8616431.

It is an arithmetic number, because the mean of its divisors is an integer number (178984080).

Almost surely, 2^13638558120 is an apocalyptic number.

13638558120 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 13638558120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22909962240).

13638558120 is an abundant number, since it is smaller than the sum of its proper divisors (32181366360).

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

13638558120 is a wasteful number, since it uses less digits than its factorization.

13638558120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 13638558120 in words is "thirteen billion, six hundred thirty-eight million, five hundred fifty-eight thousand, one hundred twenty".