11011111011180 has 384 divisors, whose sum is σ = 39797194752000. Its totient is φ = 2475429707520.

The previous prime is 11011111011179. The next prime is 11011111011181. The reversal of 11011111011180 is 8111011111011.

It is an interprime number because it is at equal distance from previous prime (11011111011179) and next prime (11011111011181).

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

It is not an unprimeable number, because it can be changed into a prime (11011111011181) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 112402261 + ... + 112500179.

It is an arithmetic number, because the mean of its divisors is an integer number (103638528000).

Almost surely, 2^{11011111011180} is an apocalyptic number.

11011111011180 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 11011111011180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19898597376000).

11011111011180 is an abundant number, since it is smaller than the sum of its proper divisors (28786083740820).

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

11011111011180 is a wasteful number, since it uses less digits than its factorization.

11011111011180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98434 (or 98426 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 18.

Adding to 11011111011180 its reverse (8111011111011), we get a palindrome (19122122122191).

The spelling of 11011111011180 in words is "eleven trillion, eleven billion, one hundred eleven million, eleven thousand, one hundred eighty".