11195120160 has 1080 divisors, whose sum is σ = 49622894244. Its totient is φ = 2368880640.

The previous prime is 11195120149. The next prime is 11195120191. The reversal of 11195120160 is 6102159111.

11195120160 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 6 ways, for example, as 4732889616 + 6462230544 = 68796^2 + 80388^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 183526530 + ... + 183526590.

Almost surely, 2^11195120160 is an apocalyptic number.

11195120160 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 11195120160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24811447122).

11195120160 is an abundant number, since it is smaller than the sum of its proper divisors (38427774084).

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

11195120160 is a wasteful number, since it uses less digits than its factorization.

11195120160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 27.

Adding to 11195120160 its reverse (6102159111), we get a palindrome (17297279271).

The spelling of 11195120160 in words is "eleven billion, one hundred ninety-five million, one hundred twenty thousand, one hundred sixty".