5466560692320 has 1152 divisors, whose sum is σ = 24061208371200. Its totient is φ = 1098476273664.

The previous prime is 5466560692303. The next prime is 5466560692379. The reversal of 5466560692320 is 232960656645.

5466560692320 is a `hidden beast` number, since 5 + 4 + 6 + 6 + 5 + 606 + 9 + 2 + 3 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 720323086 + ... + 720330674.

It is an arithmetic number, because the mean of its divisors is an integer number (20886465600).

Almost surely, 2^{5466560692320} 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 5466560692320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12030604185600).

5466560692320 is an abundant number, since it is smaller than the sum of its proper divisors (18594647678880).

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

5466560692320 is a wasteful number, since it uses less digits than its factorization.

5466560692320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7892 (or 7881 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 5466560692320 in words is "five trillion, four hundred sixty-six billion, five hundred sixty million, six hundred ninety-two thousand, three hundred twenty".