51024936768 has 224 divisors, whose sum is σ = 149019841152. Its totient is φ = 15311462400.

The previous prime is 51024936749. The next prime is 51024936797. The reversal of 51024936768 is 86763942015.

51024936768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 225887²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 51024936768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23943063 + ... + 23945193.

It is an arithmetic number, because the mean of its divisors is an integer number (665267148).

It is a 2-persistent number, because it is pandigital, and so is 2⋅51024936768 = 102049873536, but 3⋅51024936768 = 153074810304 is not.

Almost surely, 2^51024936768 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 51024936768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74509920576).

51024936768 is an abundant number, since it is smaller than the sum of its proper divisors (97994904384).

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

51024936768 is a wasteful number, since it uses less digits than its factorization.

51024936768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 51024936768 in words is "fifty-one billion, twenty-four million, nine hundred thirty-six thousand, seven hundred sixty-eight".