11180832768 has 288 divisors, whose sum is σ = 37179324000. Its totient is φ = 3170893824.

The previous prime is 11180832763. The next prime is 11180832797. The reversal of 11180832768 is 86723808111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11180832768² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11180832763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24901408 + ... + 24901856.

It is an arithmetic number, because the mean of its divisors is an integer number (129094875).

Almost surely, 2^11180832768 is an apocalyptic number.

11180832768 is a gapful number since it is divisible by the number (18) 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 11180832768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18589662000).

11180832768 is an abundant number, since it is smaller than the sum of its proper divisors (25998491232).

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

11180832768 is a wasteful number, since it uses less digits than its factorization.

11180832768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 11180832768 in words is "eleven billion, one hundred eighty million, eight hundred thirty-two thousand, seven hundred sixty-eight".