51359516208 has 1440 divisors, whose sum is σ = 217156101120. Its totient is φ = 11417656320.

The previous prime is 51359516191. The next prime is 51359516213. The reversal of 51359516208 is 80261595315.

51359516208 is a `hidden beast` number, since 5 + 13 + 5 + 9 + 5 + 1 + 620 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1092755641 + ... + 1092755687.

It is an arithmetic number, because the mean of its divisors is an integer number (150802848).

Almost surely, 2^51359516208 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 51359516208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108578050560).

51359516208 is an abundant number, since it is smaller than the sum of its proper divisors (165796584912).

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

51359516208 is a wasteful number, since it uses less digits than its factorization.

51359516208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 51359516208 in words is "fifty-one billion, three hundred fifty-nine million, five hundred sixteen thousand, two hundred eight".