5609561731200 has 768 divisors, whose sum is σ = 23500995840000. Its totient is φ = 1280066457600.

The previous prime is 5609561731157. The next prime is 5609561731229. The reversal of 5609561731200 is 21371659065.

5609561731200 is a `hidden beast` number, since 5 + 6 + 0 + 9 + 5 + 617 + 3 + 1 + 20 + 0 = 666.

It is a super-2 number, since 2×5609561731200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 381621451 + ... + 381636149.

It is an arithmetic number, because the mean of its divisors is an integer number (30600255000).

Almost surely, 2^{5609561731200} is an apocalyptic number.

5609561731200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5609561731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11750497920000).

5609561731200 is an abundant number, since it is smaller than the sum of its proper divisors (17891434108800).

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

5609561731200 is a wasteful number, since it uses less digits than its factorization.

5609561731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15370 (or 15347 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 5609561731200 in words is "five trillion, six hundred nine billion, five hundred sixty-one million, seven hundred thirty-one thousand, two hundred".