11638611180 has 288 divisors, whose sum is σ = 41890867200. Its totient is φ = 2559158784.

The previous prime is 11638611163. The next prime is 11638611191. The reversal of 11638611180 is 8111683611.

11638611180 is a `hidden beast` number, since 1 + 1 + 6 + 38 + 611 + 1 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16186861 + ... + 16187579.

It is an arithmetic number, because the mean of its divisors is an integer number (145454400).

Almost surely, 2^11638611180 is an apocalyptic number.

11638611180 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 11638611180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20945433600).

11638611180 is an abundant number, since it is smaller than the sum of its proper divisors (30252256020).

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

11638611180 is a wasteful number, since it uses less digits than its factorization.

11638611180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 11638611180 in words is "eleven billion, six hundred thirty-eight million, six hundred eleven thousand, one hundred eighty".