51726264630768 has 480 divisors, whose sum is σ = 180725989796352. Its totient is φ = 13447441152000.

The previous prime is 51726264630763. The next prime is 51726264630769. The reversal of 51726264630768 is 86703646262715.

It is a happy number.

51726264630768 is a `hidden beast` number, since 5 + 1 + 7 + 2 + 6 + 264 + 6 + 307 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51726264630763) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 300349323 + ... + 300521493.

Almost surely, 2^{51726264630768} 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 51726264630768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90362994898176).

51726264630768 is an abundant number, since it is smaller than the sum of its proper divisors (128999725165584).

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

51726264630768 is a wasteful number, since it uses less digits than its factorization.

51726264630768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172533 (or 172524 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 51726264630768 in words is "fifty-one trillion, seven hundred twenty-six billion, two hundred sixty-four million, six hundred thirty thousand, seven hundred sixty-eight".