5506666600100 has 108 divisors (see below), whose sum is σ = 12625939677204. Its totient is φ = 2084345429760.

The previous prime is 5506666600093. The next prime is 5506666600117. The reversal of 5506666600100 is 10066666055.

It can be written as a sum of positive squares in 6 ways, for example, as 480784144996 + 5025882455104 = 693386^2 + 2241848^2 .

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 35 ways as a sum of consecutive naturals, for example, 31572734 + ... + 31746666.

It is an arithmetic number, because the mean of its divisors is an integer number (116906848863).

Almost surely, 2^{5506666600100} is an apocalyptic number.

5506666600100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5506666600100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6312969838602).

5506666600100 is an abundant number, since it is smaller than the sum of its proper divisors (7119273077104).

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

5506666600100 is a wasteful number, since it uses less digits than its factorization.

5506666600100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174862 (or 174836 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 5506666600100 in words is "five trillion, five hundred six billion, six hundred sixty-six million, six hundred thousand, one hundred".