51166515616074 has 72 divisors (see below), whose sum is σ = 113993713033356. Its totient is φ = 16586352806400.

The previous prime is 51166515616057. The next prime is 51166515616081. The reversal of 51166515616074 is 47061651566115.

51166515616074 is a `hidden beast` number, since 5 + 1 + 1 + 6 + 6 + 5 + 1 + 561 + 6 + 0 + 74 = 666.

51166515616074 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2321890250625 + 48844625365449 = 1523775^2 + 6988893^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 51166515616074.

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, 6769464 + ... + 12172044.

Almost surely, 2^{51166515616074} is an apocalyptic number.

51166515616074 is an abundant number, since it is smaller than the sum of its proper divisors (62827197417282).

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

51166515616074 is a wasteful number, since it uses less digits than its factorization.

51166515616074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5402984 (or 5402940 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 51166515616074 in words is "fifty-one trillion, one hundred sixty-six billion, five hundred fifteen million, six hundred sixteen thousand, seventy-four".