51288611688 has 48 divisors (see below), whose sum is σ = 138917902500. Its totient is φ = 17094819840.

The previous prime is 51288611681. The next prime is 51288611719. The reversal of 51288611688 is 88611688215.

51288611688 is a `hidden beast` number, since 5 + 12 + 8 + 8 + 611 + 6 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49355954244 + 1932657444 = 222162^2 + 43962^2 .

It is not an unprimeable number, because it can be changed into a prime (51288611681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1270438 + ... + 1310186.

Almost surely, 2^51288611688 is an apocalyptic number.

It is an amenable number.

51288611688 is an abundant number, since it is smaller than the sum of its proper divisors (87629290812).

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

51288611688 is a wasteful number, since it uses less digits than its factorization.

51288611688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57682 (or 57675 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 54.

It can be divided in two parts, 51288 and 611688, that added together give a triangular number (662976 = T₁₁₅₁).

The spelling of 51288611688 in words is "fifty-one billion, two hundred eighty-eight million, six hundred eleven thousand, six hundred eighty-eight".