5206610973312 has 512 divisors, whose sum is σ = 18338097254400. Its totient is φ = 1421950464000.

The previous prime is 5206610973301. The next prime is 5206610973349. The reversal of 5206610973312 is 2133790166025.

5206610973312 is a `hidden beast` number, since 5 + 20 + 6 + 610 + 9 + 7 + 3 + 3 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1252490338 + ... + 1252494494.

It is an arithmetic number, because the mean of its divisors is an integer number (35816596200).

Almost surely, 2^{5206610973312} 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 5206610973312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9169048627200).

5206610973312 is an abundant number, since it is smaller than the sum of its proper divisors (13131486281088).

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

5206610973312 is a wasteful number, since it uses less digits than its factorization.

5206610973312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6461 (or 6443 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 5206610973312 in words is "five trillion, two hundred six billion, six hundred ten million, nine hundred seventy-three thousand, three hundred twelve".