53624389999680 has 336 divisors, whose sum is σ = 185940277801200. Its totient is φ = 14184418590720.

The previous prime is 53624389999633. The next prime is 53624389999693. The reversal of 53624389999680 is 8699998342635.

53624389999680 is a `hidden beast` number, since 5 + 3 + 6 + 2 + 438 + 9 + 99 + 96 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 367556037696 + 53256833961984 = 606264^2 + 7297728^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 53624389999680.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177259750 + ... + 177562010.

Almost surely, 2^{53624389999680} 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 53624389999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92970138900600).

53624389999680 is an abundant number, since it is smaller than the sum of its proper divisors (132315887801520).

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

53624389999680 is a wasteful number, since it uses less digits than its factorization.

53624389999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302782 (or 302769 counting only the distinct ones).

The product of its (nonzero) digits is 5441955840, while the sum is 81.

The spelling of 53624389999680 in words is "fifty-three trillion, six hundred twenty-four billion, three hundred eighty-nine million, nine hundred ninety-nine thousand, six hundred eighty".