11005055111061 has 16 divisors (see below), whose sum is σ = 17785947654720. Its totient is φ = 6669730370160.

The previous prime is 11005055111047. The next prime is 11005055111101. The reversal of 11005055111061 is 16011155050011.

11005055111061 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 5 + 0 + 551 + 1 + 106 + 1 = 666.

It is not a de Polignac number, because 11005055111061 - 2¹⁵ = 11005055078293 is a prime.

It is a super-2 number, since 2×11005055111061² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005055111021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18527028510 + ... + 18527029103.

It is an arithmetic number, because the mean of its divisors is an integer number (1111621728420).

Almost surely, 2^{11005055111061} is an apocalyptic number.

11005055111061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11005055111061 is a deficient number, since it is larger than the sum of its proper divisors (6780892543659).

11005055111061 is a wasteful number, since it uses less digits than its factorization.

11005055111061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37054057633 (or 37054057627 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 27.

The spelling of 11005055111061 in words is "eleven trillion, five billion, fifty-five million, one hundred eleven thousand, sixty-one".