5809195974960 has 320 divisors, whose sum is σ = 22889401651200. Its totient is φ = 1326570421248.

The previous prime is 5809195974937. The next prime is 5809195974997. The reversal of 5809195974960 is 694795919085.

5809195974960 is a `hidden beast` number, since 5 + 80 + 9 + 1 + 9 + 59 + 7 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15983577 + ... + 16342983.

It is an arithmetic number, because the mean of its divisors is an integer number (71529380160).

Almost surely, 2^{5809195974960} 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 5809195974960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11444700825600).

5809195974960 is an abundant number, since it is smaller than the sum of its proper divisors (17080205676240).

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

5809195974960 is a wasteful number, since it uses less digits than its factorization.

5809195974960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360505 (or 360493 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 72.

The spelling of 5809195974960 in words is "five trillion, eight hundred nine billion, one hundred ninety-five million, nine hundred seventy-four thousand, nine hundred sixty".