51214766688 has 144 divisors (see below), whose sum is σ = 150594941952. Its totient is φ = 16492896000.

The previous prime is 51214766641. The next prime is 51214766693. The reversal of 51214766688 is 88666741215.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5629023 + ... + 5638113.

It is an arithmetic number, because the mean of its divisors is an integer number (1045798208).

Almost surely, 2^51214766688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51214766688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75297470976).

51214766688 is an abundant number, since it is smaller than the sum of its proper divisors (99380175264).

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

51214766688 is a wasteful number, since it uses less digits than its factorization.

51214766688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9769 (or 9758 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 51214766688 in words is "fifty-one billion, two hundred fourteen million, seven hundred sixty-six thousand, six hundred eighty-eight".