11033120520 has 96 divisors (see below), whose sum is σ = 35987416920. Its totient is φ = 2931517440.

The previous prime is 11033120509. The next prime is 11033120531. The reversal of 11033120520 is 2502133011.

11033120520 is a `hidden beast` number, since 110 + 3 + 31 + 2 + 0 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (11033120509) and next prime (11033120531).

It can be written as a sum of positive squares in 4 ways, for example, as 6805260036 + 4227860484 = 82494^2 + 65022^2 .

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 = 11033120493 and 11033120502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44400 + ... + 155040.

Almost surely, 2^11033120520 is an apocalyptic number.

11033120520 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 11033120520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17993708460).

11033120520 is an abundant number, since it is smaller than the sum of its proper divisors (24954296400).

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

11033120520 is a wasteful number, since it uses less digits than its factorization.

11033120520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110935 (or 110928 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 11033120520 its reverse (2502133011), we get a palindrome (13535253531).

The spelling of 11033120520 in words is "eleven billion, thirty-three million, one hundred twenty thousand, five hundred twenty".