5505055505550 has 192 divisors, whose sum is σ = 16012385856000. Its totient is φ = 1386874586880.

The previous prime is 5505055505507. The next prime is 5505055505581. The reversal of 5505055505550 is 555055505055.

It is a super-2 number, since 2×5505055505550² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5505055505496 and 5505055505505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8909434 + ... + 9507266.

It is an arithmetic number, because the mean of its divisors is an integer number (83397843000).

Almost surely, 2^{5505055505550} is an apocalyptic number.

5505055505550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5505055505550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8006192928000).

5505055505550 is an abundant number, since it is smaller than the sum of its proper divisors (10507330350450).

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

5505055505550 is a wasteful number, since it uses less digits than its factorization.

5505055505550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598232 (or 598221 counting only the distinct ones).

The product of its (nonzero) digits is 1953125, while the sum is 45.

The spelling of 5505055505550 in words is "five trillion, five hundred five billion, fifty-five million, five hundred five thousand, five hundred fifty".