11006636205162 has 128 divisors (see below), whose sum is σ = 24293683814400. Its totient is φ = 3303294898176.

The previous prime is 11006636205139. The next prime is 11006636205241. The reversal of 11006636205162 is 26150263660011.

It is a super-2 number, since 2×11006636205162² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 11006636205162.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2566245514 + ... + 2566249802.

It is an arithmetic number, because the mean of its divisors is an integer number (189794404800).

Almost surely, 2^{11006636205162} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11006636205162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12146841907200).

11006636205162 is an abundant number, since it is smaller than the sum of its proper divisors (13287047609238).

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

11006636205162 is a wasteful number, since it uses less digits than its factorization.

11006636205162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6580.

The product of its (nonzero) digits is 77760, while the sum is 39.

Adding to 11006636205162 its reverse (26150263660011), we get a palindrome (37156899865173).

The spelling of 11006636205162 in words is "eleven trillion, six billion, six hundred thirty-six million, two hundred five thousand, one hundred sixty-two".