56516613735105 has 64 divisors (see below), whose sum is σ = 100524766003200. Its totient is φ = 30126962162880.

The previous prime is 56516613735091. The next prime is 56516613735107. The reversal of 56516613735105 is 50153731661565.

56516613735105 is a `hidden beast` number, since 5 + 6 + 5 + 1 + 6 + 613 + 7 + 3 + 5 + 10 + 5 = 666.

56516613735105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56516613735105 - 2¹⁰ = 56516613734081 is a prime.

It is a super-2 number, since 2×56516613735105² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56516613735107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3504463552 + ... + 3504479678.

It is an arithmetic number, because the mean of its divisors is an integer number (1570699468800).

Almost surely, 2^{56516613735105} is an apocalyptic number.

It is an amenable number.

56516613735105 is a deficient number, since it is larger than the sum of its proper divisors (44008152268095).

56516613735105 is a wasteful number, since it uses less digits than its factorization.

56516613735105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27651 (or 27645 counting only the distinct ones).

The product of its (nonzero) digits is 8505000, while the sum is 54.

The spelling of 56516613735105 in words is "fifty-six trillion, five hundred sixteen billion, six hundred thirteen million, seven hundred thirty-five thousand, one hundred five".