5506105100500 has 24 divisors (see below), whose sum is σ = 12025333540584. Its totient is φ = 2202442040000.

The previous prime is 5506105100479. The next prime is 5506105100533. The reversal of 5506105100500 is 50015016055.

It can be written as a sum of positive squares in 4 ways, for example, as 126590793616 + 5379514306884 = 355796^2 + 2319378^2 .

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 7 ways as a sum of consecutive naturals, for example, 5506104601 + ... + 5506105600.

It is an arithmetic number, because the mean of its divisors is an integer number (501055564191).

Almost surely, 2^{5506105100500} is an apocalyptic number.

5506105100500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5506105100500 is an abundant number, since it is smaller than the sum of its proper divisors (6519228440084).

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

5506105100500 is a wasteful number, since it uses less digits than its factorization.

5506105100500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11012210220 (or 11012210208 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 5506105100500 in words is "five trillion, five hundred six billion, one hundred five million, one hundred thousand, five hundred".