51805344672 has 576 divisors, whose sum is σ = 172375257600. Its totient is φ = 14702100480.

The previous prime is 51805344659. The next prime is 51805344707. The reversal of 51805344672 is 27644350815.

51805344672 is a `hidden beast` number, since 5 + 1 + 8 + 0 + 534 + 46 + 72 = 666.

51805344672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1102241353 + ... + 1102241399.

It is an arithmetic number, because the mean of its divisors is an integer number (299262600).

Almost surely, 2^51805344672 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 51805344672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86187628800).

51805344672 is an abundant number, since it is smaller than the sum of its proper divisors (120569912928).

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

51805344672 is a wasteful number, since it uses less digits than its factorization.

51805344672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 51805344672 in words is "fifty-one billion, eight hundred five million, three hundred forty-four thousand, six hundred seventy-two".