51665041653624 has 288 divisors, whose sum is σ = 172459486901520. Its totient is φ = 13883973691392.

The previous prime is 51665041653623. The next prime is 51665041653767. The reversal of 51665041653624 is 42635614056615.

51665041653624 is a `hidden beast` number, since 5 + 1 + 6 + 6 + 5 + 0 + 4 + 1 + 6 + 5 + 3 + 624 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51665041653623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91060642 + ... + 91626254.

Almost surely, 2^{51665041653624} 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 51665041653624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86229743450760).

51665041653624 is an abundant number, since it is smaller than the sum of its proper divisors (120794445247896).

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

51665041653624 is a wasteful number, since it uses less digits than its factorization.

51665041653624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567179 (or 567165 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 51665041653624 in words is "fifty-one trillion, six hundred sixty-five billion, forty-one million, six hundred fifty-three thousand, six hundred twenty-four".