11011541220 has 96 divisors (see below), whose sum is σ = 34288410240. Its totient is φ = 2933815680.

The previous prime is 11011541213. The next prime is 11011541221. The reversal of 11011541220 is 2214511011.

11011541220 is a `hidden beast` number, since 1 + 101 + 1 + 541 + 2 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11011541193 and 11011541202.

It is not an unprimeable number, because it can be changed into a prime (11011541221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646615 + ... + 663425.

It is an arithmetic number, because the mean of its divisors is an integer number (357170940).

Almost surely, 2^11011541220 is an apocalyptic number.

11011541220 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 11011541220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17144205120).

11011541220 is an abundant number, since it is smaller than the sum of its proper divisors (23276869020).

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

11011541220 is a wasteful number, since it uses less digits than its factorization.

11011541220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18042 (or 18034 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The spelling of 11011541220 in words is "eleven billion, eleven million, five hundred forty-one thousand, two hundred twenty".