11042111520 has 432 divisors, whose sum is σ = 41827968000. Its totient is φ = 2650475520.

The previous prime is 11042111491. The next prime is 11042111527. The reversal of 11042111520 is 2511124011.

11042111520 is a `hidden beast` number, since 110 + 4 + 21 + 11 + 520 = 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 = 11042111493 and 11042111502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11042111527) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22128231 + ... + 22128729.

It is an arithmetic number, because the mean of its divisors is an integer number (96824000).

Almost surely, 2^11042111520 is an apocalyptic number.

11042111520 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 11042111520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20913984000).

11042111520 is an abundant number, since it is smaller than the sum of its proper divisors (30785856480).

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

11042111520 is a wasteful number, since it uses less digits than its factorization.

11042111520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 647 counting only the distinct ones).

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

Adding to 11042111520 its reverse (2511124011), we get a palindrome (13553235531).

The spelling of 11042111520 in words is "eleven billion, forty-two million, one hundred eleven thousand, five hundred twenty".