51204732768 has 384 divisors, whose sum is σ = 181367424000. Its totient is φ = 13720264704.

The previous prime is 51204732757. The next prime is 51204732823. The reversal of 51204732768 is 86723740215.

51204732768 is a `hidden beast` number, since 512 + 0 + 4 + 73 + 2 + 7 + 68 = 666.

It is a super-3 number, since 3×51204732768³ (a number of 33 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 35882071 + ... + 35883497.

It is an arithmetic number, because the mean of its divisors is an integer number (472311000).

Almost surely, 2^51204732768 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 51204732768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90683712000).

51204732768 is an abundant number, since it is smaller than the sum of its proper divisors (130162691232).

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

51204732768 is a wasteful number, since it uses less digits than its factorization.

51204732768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 51204732768 in words is "fifty-one billion, two hundred four million, seven hundred thirty-two thousand, seven hundred sixty-eight".