11180520288 has 384 divisors, whose sum is σ = 40540953600. Its totient is φ = 2924273664.

The previous prime is 11180520283. The next prime is 11180520313. The reversal of 11180520288 is 88202508111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11180520283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3802723 + ... + 3805661.

It is an arithmetic number, because the mean of its divisors is an integer number (105575400).

Almost surely, 2^11180520288 is an apocalyptic number.

11180520288 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 11180520288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20270476800).

11180520288 is an abundant number, since it is smaller than the sum of its proper divisors (29360433312).

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

11180520288 is a wasteful number, since it uses less digits than its factorization.

11180520288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The spelling of 11180520288 in words is "eleven billion, one hundred eighty million, five hundred twenty thousand, two hundred eighty-eight".