51136512768 has 648 divisors, whose sum is σ = 171784366208. Its totient is φ = 14598144000.

The previous prime is 51136512709. The next prime is 51136512769. The reversal of 51136512768 is 86721563115.

51136512768 is a `hidden beast` number, since 5 + 11 + 365 + 1 + 276 + 8 = 666.

51136512768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51136512768² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51136512769) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 527180496 + ... + 527180592.

Almost surely, 2^51136512768 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 51136512768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85892183104).

51136512768 is an abundant number, since it is smaller than the sum of its proper divisors (120647853440).

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

51136512768 is a wasteful number, since it uses less digits than its factorization.

51136512768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 205 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 51136512768 in words is "fifty-one billion, one hundred thirty-six million, five hundred twelve thousand, seven hundred sixty-eight".