11135040520 has 64 divisors (see below), whose sum is σ = 25399008000. Its totient is φ = 4392780288.

The previous prime is 11135040509. The next prime is 11135040529. The reversal of 11135040520 is 2504053111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11135040491 and 11135040500.

It is not an unprimeable number, because it can be changed into a prime (11135040529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4527051 + ... + 4529509.

It is an arithmetic number, because the mean of its divisors is an integer number (396859500).

Almost surely, 2^11135040520 is an apocalyptic number.

11135040520 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 11135040520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12699504000).

11135040520 is an abundant number, since it is smaller than the sum of its proper divisors (14263967480).

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

11135040520 is a wasteful number, since it uses less digits than its factorization.

11135040520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3982 (or 3978 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 11135040520 its reverse (2504053111), we get a palindrome (13639093631).

It can be divided in two parts, 11 and 135040520, that added together give a palindrome (135040531).

The spelling of 11135040520 in words is "eleven billion, one hundred thirty-five million, forty thousand, five hundred twenty".