5909616760320 has 2160 divisors, whose sum is σ = 26556550740720. Its totient is φ = 1203762954240.

The previous prime is 5909616760279. The next prime is 5909616760331. The reversal of 5909616760320 is 230676169095.

5909616760320 is a `hidden beast` number, since 5 + 9 + 0 + 9 + 6 + 1 + 6 + 7 + 603 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 14104097071 + ... + 14104097489.

It is an arithmetic number, because the mean of its divisors is an integer number (12294699417).

Almost surely, 2^{5909616760320} 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 5909616760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13278275370360).

5909616760320 is an abundant number, since it is smaller than the sum of its proper divisors (20646933980400).

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

5909616760320 is a wasteful number, since it uses less digits than its factorization.

5909616760320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 5909616760320 in words is "five trillion, nine hundred nine billion, six hundred sixteen million, seven hundred sixty thousand, three hundred twenty".