11180160000 has 440 divisors, whose sum is σ = 41438485440. Its totient is φ = 2976768000.

The previous prime is 11180159941. The next prime is 11180160001. The reversal of 11180160000 is 6108111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11180160001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17279677 + ... + 17280323.

It is an arithmetic number, because the mean of its divisors is an integer number (94178376).

Almost surely, 2^11180160000 is an apocalyptic number.

11180160000 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 11180160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20719242720).

11180160000 is an abundant number, since it is smaller than the sum of its proper divisors (30258325440).

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

11180160000 is an frugal number, since it uses more digits than its factorization.

11180160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11180160000 its reverse (6108111), we get a palindrome (11186268111).

The spelling of 11180160000 in words is "eleven billion, one hundred eighty million, one hundred sixty thousand".