51933126168 has 384 divisors, whose sum is σ = 178494451200. Its totient is φ = 13250304000.

The previous prime is 51933126127. The next prime is 51933126221. The reversal of 51933126168 is 86162133915.

51933126168 is a `hidden beast` number, since 5 + 19 + 3 + 3 + 12 + 616 + 8 = 666.

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 95 ways as a sum of consecutive naturals, for example, 91270588 + ... + 91271156.

It is an arithmetic number, because the mean of its divisors is an integer number (464829300).

Almost surely, 2^51933126168 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 51933126168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89247225600).

51933126168 is an abundant number, since it is smaller than the sum of its proper divisors (126561325032).

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

51933126168 is a wasteful number, since it uses less digits than its factorization.

51933126168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 856 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 51933126168 in words is "fifty-one billion, nine hundred thirty-three million, one hundred twenty-six thousand, one hundred sixty-eight".