51168000000 has 672 divisors, whose sum is σ = 188111654640. Its totient is φ = 12288000000.

The previous prime is 51167999947. The next prime is 51168000029. The reversal of 51168000000 is 86115.

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 55 ways as a sum of consecutive naturals, for example, 1247999980 + ... + 1248000020.

Almost surely, 2^51168000000 is an apocalyptic number.

51168000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51168000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94055827320).

51168000000 is an abundant number, since it is smaller than the sum of its proper divisors (136943654640).

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

51168000000 is an frugal number, since it uses more digits than its factorization.

51168000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 51168000000 its reverse (86115), we get a palindrome (51168086115).

The spelling of 51168000000 in words is "fifty-one billion, one hundred sixty-eight million", and thus it is an aban number.