5709861648000 has 192 divisors, whose sum is σ = 20505541160520. Its totient is φ = 1522629734400.

The previous prime is 5709861647929. The next prime is 5709861648011. The reversal of 5709861648000 is 8461689075.

5709861648000 is a `hidden beast` number, since 5 + 70 + 9 + 86 + 16 + 480 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 625630377024 + 5084231270976 = 790968^2 + 2254824^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19681909 + ... + 19969908.

Almost surely, 2^{5709861648000} is an apocalyptic number.

5709861648000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5709861648000 is an abundant number, since it is smaller than the sum of its proper divisors (14795679512520).

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

5709861648000 is a wasteful number, since it uses less digits than its factorization.

5709861648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39651852 (or 39651827 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 5709861648000 in words is "five trillion, seven hundred nine billion, eight hundred sixty-one million, six hundred forty-eight thousand".