11180000180 has 12 divisors (see below), whose sum is σ = 23478000420. Its totient is φ = 4472000064.

The previous prime is 11180000107. The next prime is 11180000189. The reversal of 11180000180 is 8100008111.

It can be written as a sum of positive squares in 2 ways, for example, as 3023020324 + 8156979856 = 54982^2 + 90316^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 559000009 = 11180000180 / (1 + 1 + 1 + 8 + 0 + 0 + 0 + 0 + 1 + 8 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11180000189) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 279499985 + ... + 279500024.

It is an arithmetic number, because the mean of its divisors is an integer number (1956500035).

Almost surely, 2^11180000180 is an apocalyptic number.

11180000180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11180000180 is an abundant number, since it is smaller than the sum of its proper divisors (12298000240).

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

11180000180 is a wasteful number, since it uses less digits than its factorization.

11180000180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559000018 (or 559000016 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 11180000180 its reverse (8100008111), we get a palindrome (19280008291).

The spelling of 11180000180 in words is "eleven billion, one hundred eighty million, one hundred eighty", and thus it is an aban number.