5505106106000 has 40 divisors (see below), whose sum is σ = 13311346569144. Its totient is φ = 2202042441600.

The previous prime is 5505106105999. The next prime is 5505106106051. The reversal of 5505106106000 is 6016015055.

It can be written as a sum of positive squares in 4 ways, for example, as 759191571856 + 4745914534144 = 871316^2 + 2178512^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 1376274527 + ... + 1376278526.

Almost surely, 2^{5505106106000} is an apocalyptic number.

5505106106000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5505106106000 is an abundant number, since it is smaller than the sum of its proper divisors (7806240463144).

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

5505106106000 is a wasteful number, since it uses less digits than its factorization.

5505106106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752553076 (or 2752553060 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 5505106106000 in words is "five trillion, five hundred five billion, one hundred six million, one hundred six thousand".