51404330656224 has 864 divisors, whose sum is σ = 191162106154656. Its totient is φ = 12974428938240.

The previous prime is 51404330656223. The next prime is 51404330656241. The reversal of 51404330656224 is 42265603340415.

51404330656224 is a `hidden beast` number, since 5 + 1 + 40 + 4 + 330 + 6 + 56 + 224 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 51404330656224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51404330656223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 413998119 + ... + 414122265.

It is an arithmetic number, because the mean of its divisors is an integer number (221252437679).

Almost surely, 2^{51404330656224} 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 51404330656224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95581053077328).

51404330656224 is an abundant number, since it is smaller than the sum of its proper divisors (139757775498432).

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

51404330656224 is a wasteful number, since it uses less digits than its factorization.

51404330656224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124288 (or 124270 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

Adding to 51404330656224 its reverse (42265603340415), we get a palindrome (93669933996639).

The spelling of 51404330656224 in words is "fifty-one trillion, four hundred four billion, three hundred thirty million, six hundred fifty-six thousand, two hundred twenty-four".