51106166511660 has 108 divisors (see below), whose sum is σ = 167864100872832. Its totient is φ = 12579979441536.

The previous prime is 51106166511641. The next prime is 51106166511677. The reversal of 51106166511660 is 6611566160115.

51106166511660 is a `hidden beast` number, since 5 + 1 + 10 + 6 + 1 + 66 + 511 + 6 + 60 = 666.

51106166511660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51106166511660² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 839978892 + ... + 840039731.

It is an arithmetic number, because the mean of its divisors is an integer number (1554297230304).

Almost surely, 2^{51106166511660} is an apocalyptic number.

It is an amenable number.

51106166511660 is an abundant number, since it is smaller than the sum of its proper divisors (116757934361172).

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

51106166511660 is a wasteful number, since it uses less digits than its factorization.

51106166511660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680018664 (or 1680018646 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 51106166511660 in words is "fifty-one trillion, one hundred six billion, one hundred sixty-six million, five hundred eleven thousand, six hundred sixty".