11919780180 has 1080 divisors, whose sum is σ = 51317487144. Its totient is φ = 2299207680.

The previous prime is 11919780151. The next prime is 11919780181. The reversal of 11919780180 is 8108791911.

11919780180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2773918224 + 9145861956 = 52668^2 + 95634^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11919780181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 163284624 + ... + 163284696.

Almost surely, 2^11919780180 is an apocalyptic number.

11919780180 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 11919780180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25658743572).

11919780180 is an abundant number, since it is smaller than the sum of its proper divisors (39397706964).

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

11919780180 is a wasteful number, since it uses less digits than its factorization.

11919780180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 45.

The spelling of 11919780180 in words is "eleven billion, nine hundred nineteen million, seven hundred eighty thousand, one hundred eighty".