11180124288 has 192 divisors, whose sum is σ = 33055588800. Its totient is φ = 3625703424.

The previous prime is 11180124247. The next prime is 11180124299. The reversal of 11180124288 is 88242108111.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6999906 + ... + 7001502.

It is an arithmetic number, because the mean of its divisors is an integer number (172164525).

Almost surely, 2^11180124288 is an apocalyptic number.

11180124288 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 11180124288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16527794400).

11180124288 is an abundant number, since it is smaller than the sum of its proper divisors (21875464512).

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

11180124288 is a wasteful number, since it uses less digits than its factorization.

11180124288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The spelling of 11180124288 in words is "eleven billion, one hundred eighty million, one hundred twenty-four thousand, two hundred eighty-eight".