110505561011055 has 64 divisors (see below), whose sum is σ = 224539580282880. Its totient is φ = 50512250218752.

The previous prime is 110505561011029. The next prime is 110505561011149. The reversal of 110505561011055 is 550110165505011.

110505561011055 is a `hidden beast` number, since 1 + 1 + 0 + 50 + 556 + 1 + 0 + 1 + 1 + 0 + 55 = 666.

It is not a de Polignac number, because 110505561011055 - 2⁶ = 110505561010991 is a prime.

It is a super-2 number, since 2×110505561011055² (a number of 29 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 (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5146707 + ... + 15732123.

It is an arithmetic number, because the mean of its divisors is an integer number (3508430941920).

Almost surely, 2^{110505561011055} is an apocalyptic number.

110505561011055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

110505561011055 is an abundant number, since it is smaller than the sum of its proper divisors (114034019271825).

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

110505561011055 is a wasteful number, since it uses less digits than its factorization.

110505561011055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10596485 (or 10596479 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 36.

The spelling of 110505561011055 in words is "one hundred ten trillion, five hundred five billion, five hundred sixty-one million, eleven thousand, fifty-five".