11165066132220 has 2880 divisors, whose sum is σ = 49863651188736. Its totient is φ = 2032335360000.

The previous prime is 11165066132219. The next prime is 11165066132237. The reversal of 11165066132220 is 2223166056111.

11165066132220 is a `hidden beast` number, since 1 + 1 + 16 + 5 + 0 + 6 + 613 + 2 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 33731317455 + ... + 33731317785.

Almost surely, 2^{11165066132220} is an apocalyptic number.

11165066132220 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 11165066132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24931825594368).

11165066132220 is an abundant number, since it is smaller than the sum of its proper divisors (38698585056516).

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

11165066132220 is a wasteful number, since it uses less digits than its factorization.

11165066132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11165066132220 in words is "eleven trillion, one hundred sixty-five billion, sixty-six million, one hundred thirty-two thousand, two hundred twenty".