11165011020 has 144 divisors (see below), whose sum is σ = 35093036160. Its totient is φ = 2869913088.

The previous prime is 11165011009. The next prime is 11165011031. The reversal of 11165011020 is 2011056111.

It is a happy number.

11165011020 is a `hidden beast` number, since 1 + 1 + 1 + 650 + 1 + 10 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11165011009) and next prime (11165011031).

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 = 11165010984 and 11165011002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4033677 + ... + 4036443.

It is an arithmetic number, because the mean of its divisors is an integer number (243701640).

Almost surely, 2^11165011020 is an apocalyptic number.

11165011020 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 11165011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17546518080).

11165011020 is an abundant number, since it is smaller than the sum of its proper divisors (23928025140).

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

11165011020 is a wasteful number, since it uses less digits than its factorization.

11165011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 11165011020 its reverse (2011056111), we get a palindrome (13176067131).

The spelling of 11165011020 in words is "eleven billion, one hundred sixty-five million, eleven thousand, twenty".