5506055105100 has 144 divisors (see below), whose sum is σ = 17467333019136. Its totient is φ = 1328025440000.

The previous prime is 5506055105051. The next prime is 5506055105137. The reversal of 5506055105100 is 15015506055.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3584676 + ... + 4884875.

It is an arithmetic number, because the mean of its divisors is an integer number (121300923744).

Almost surely, 2^{5506055105100} is an apocalyptic number.

5506055105100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5506055105100 is an abundant number, since it is smaller than the sum of its proper divisors (11961277914036).

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

5506055105100 is a wasteful number, since it uses less digits than its factorization.

5506055105100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8469776 (or 8469769 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 33.

The spelling of 5506055105100 in words is "five trillion, five hundred six billion, fifty-five million, one hundred five thousand, one hundred".