11006511205455 has 128 divisors (see below), whose sum is σ = 21811482316800. Its totient is φ = 5233356490752.

The previous prime is 11006511205441. The next prime is 11006511205477. The reversal of 11006511205455 is 55450211560011.

11006511205455 is a `hidden beast` number, since 1 + 100 + 6 + 5 + 1 + 1 + 2 + 0 + 545 + 5 = 666.

It is not a de Polignac number, because 11006511205455 - 2⁵ = 11006511205423 is a prime.

It is a super-2 number, since 2×11006511205455² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 488233914 + ... + 488256456.

It is an arithmetic number, because the mean of its divisors is an integer number (170402205600).

Almost surely, 2^{11006511205455} is an apocalyptic number.

11006511205455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11006511205455 is a deficient number, since it is larger than the sum of its proper divisors (10804971111345).

11006511205455 is a wasteful number, since it uses less digits than its factorization.

11006511205455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33790 (or 33784 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

Adding to 11006511205455 its reverse (55450211560011), we get a palindrome (66456722765466).

The spelling of 11006511205455 in words is "eleven trillion, six billion, five hundred eleven million, two hundred five thousand, four hundred fifty-five".