5609853945360 has 960 divisors, whose sum is σ = 22130080727040. Its totient is φ = 1247215656960.

The previous prime is 5609853945349. The next prime is 5609853945361. The reversal of 5609853945360 is 635493589065.

5609853945360 is a `hidden beast` number, since 5 + 6 + 0 + 9 + 8 + 5 + 3 + 94 + 536 + 0 = 666.

It is a super-2 number, since 2×5609853945360² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5609853945361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11519207037 + ... + 11519207523.

It is an arithmetic number, because the mean of its divisors is an integer number (23052167424).

Almost surely, 2^{5609853945360} 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 5609853945360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11065040363520).

5609853945360 is an abundant number, since it is smaller than the sum of its proper divisors (16520226781680).

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

5609853945360 is a wasteful number, since it uses less digits than its factorization.

5609853945360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 63.

The spelling of 5609853945360 in words is "five trillion, six hundred nine billion, eight hundred fifty-three million, nine hundred forty-five thousand, three hundred sixty".