51768430560 has 768 divisors, whose sum is σ = 237817036800. Its totient is φ = 10189670400.

The previous prime is 51768430523. The next prime is 51768430621. The reversal of 51768430560 is 6503486715.

51768430560 is a `hidden beast` number, since 5 + 1 + 7 + 6 + 84 + 3 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 6316065 + ... + 6324255.

It is an arithmetic number, because the mean of its divisors is an integer number (309657600).

Almost surely, 2^51768430560 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 51768430560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118908518400).

51768430560 is an abundant number, since it is smaller than the sum of its proper divisors (186048606240).

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

51768430560 is a wasteful number, since it uses less digits than its factorization.

51768430560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8252 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 51768430560 in words is "fifty-one billion, seven hundred sixty-eight million, four hundred thirty thousand, five hundred sixty".