55055505006 has 32 divisors (see below), whose sum is σ = 129542366880. Its totient is φ = 17272315008.

The previous prime is 55055504893. The next prime is 55055505017. The reversal of 55055505006 is 60050555055.

55055505006 is a `hidden beast` number, since 5 + 50 + 5 + 550 + 50 + 0 + 6 = 666.

It is a super-3 number, since 3×55055505006³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 29985741 + ... + 29987576.

It is an arithmetic number, because the mean of its divisors is an integer number (4048198965).

Almost surely, 2^55055505006 is an apocalyptic number.

55055505006 is an abundant number, since it is smaller than the sum of its proper divisors (74486861874).

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

55055505006 is a wasteful number, since it uses less digits than its factorization.

55055505006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59973345 (or 59973339 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 36.

The spelling of 55055505006 in words is "fifty-five billion, fifty-five million, five hundred five thousand, six".