51063879168 has 320 divisors, whose sum is σ = 154519485120. Its totient is φ = 16647192576.

The previous prime is 51063879161. The next prime is 51063879193. The reversal of 51063879168 is 86197836015.

51063879168 is a `hidden beast` number, since 510 + 6 + 38 + 7 + 91 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51063879161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 151524696 + ... + 151525032.

It is an arithmetic number, because the mean of its divisors is an integer number (482873391).

Almost surely, 2^51063879168 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 51063879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77259742560).

51063879168 is an abundant number, since it is smaller than the sum of its proper divisors (103455605952).

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

51063879168 is a wasteful number, since it uses less digits than its factorization.

51063879168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 51063879168 in words is "fifty-one billion, sixty-three million, eight hundred seventy-nine thousand, one hundred sixty-eight".