56006106105005 has 48 divisors (see below), whose sum is σ = 79516043031600. Its totient is φ = 37753176158208.

The previous prime is 56006106104959. The next prime is 56006106105011. The reversal of 56006106105005 is 50050160160065.

It can be written as a sum of positive squares in 8 ways, for example, as 337406471689 + 55668699633316 = 580867^2 + 7461146^2 .

It is not a de Polignac number, because 56006106105005 - 2¹² = 56006106100909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a congruent number.

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, 4367282 + ... + 11449251.

It is an arithmetic number, because the mean of its divisors is an integer number (1656584229825).

Almost surely, 2^{56006106105005} is an apocalyptic number.

It is an amenable number.

56006106105005 is a deficient number, since it is larger than the sum of its proper divisors (23509936926595).

56006106105005 is a wasteful number, since it uses less digits than its factorization.

56006106105005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15816798 (or 15816791 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 56006106105005 in words is "fifty-six trillion, six billion, one hundred six million, one hundred five thousand, five".