11813667588 has 72 divisors (see below), whose sum is σ = 31101846048. Its totient is φ = 3920913216.

The previous prime is 11813667587. The next prime is 11813667589. The reversal of 11813667588 is 88576631811.

It is an interprime number because it is at equal distance from previous prime (11813667587) and next prime (11813667589).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11813667587) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200395 + ... + 252557.

It is an arithmetic number, because the mean of its divisors is an integer number (431970084).

Almost surely, 2^11813667588 is an apocalyptic number.

11813667588 is a gapful number since it is divisible by the number (18) 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 11813667588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15550923024).

11813667588 is an abundant number, since it is smaller than the sum of its proper divisors (19288178460).

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

11813667588 is a wasteful number, since it uses less digits than its factorization.

11813667588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52415 (or 52401 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 11813667588 in words is "eleven billion, eight hundred thirteen million, six hundred sixty-seven thousand, five hundred eighty-eight".