5006105505560 has 64 divisors (see below), whose sum is σ = 11280515051520. Its totient is φ = 1999461421440.

The previous prime is 5006105505517. The next prime is 5006105505587. The reversal of 5006105505560 is 655055016005.

It is a super-3 number, since 3×5006105505560³ (a number of 39 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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88432865 + ... + 88489455.

It is an arithmetic number, because the mean of its divisors is an integer number (176258047680).

Almost surely, 2^{5006105505560} is an apocalyptic number.

It is an amenable number.

5006105505560 is an abundant number, since it is smaller than the sum of its proper divisors (6274409545960).

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

5006105505560 is a wasteful number, since it uses less digits than its factorization.

5006105505560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59856 (or 59852 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 38.

The spelling of 5006105505560 in words is "five trillion, six billion, one hundred five million, five hundred five thousand, five hundred sixty".