11605242506220 has 288 divisors, whose sum is σ = 40828582738944. Its totient is φ = 2640295257600.

The previous prime is 11605242506219. The next prime is 11605242506257. The reversal of 11605242506220 is 2260524250611.

11605242506220 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 5 + 2 + 4 + 25 + 0 + 622 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9505 + ... + 4817735.

It is an arithmetic number, because the mean of its divisors is an integer number (141765912288).

Almost surely, 2^{11605242506220} is an apocalyptic number.

11605242506220 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 11605242506220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20414291369472).

11605242506220 is an abundant number, since it is smaller than the sum of its proper divisors (29223340232724).

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

11605242506220 is a wasteful number, since it uses less digits than its factorization.

11605242506220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4808333 (or 4808328 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 11605242506220 its reverse (2260524250611), we get a palindrome (13865766756831).

The spelling of 11605242506220 in words is "eleven trillion, six hundred five billion, two hundred forty-two million, five hundred six thousand, two hundred twenty".