5605687942560 has 576 divisors, whose sum is σ = 20524781362176. Its totient is φ = 1389743308800.

The previous prime is 5605687942549. The next prime is 5605687942567. The reversal of 5605687942560 is 652497865065.

It is a happy number.

5605687942560 is a `hidden beast` number, since 5 + 6 + 0 + 5 + 68 + 7 + 9 + 4 + 2 + 560 = 666.

It is not an unprimeable number, because it can be changed into a prime (5605687942567) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 367988704 + ... + 368003936.

It is an arithmetic number, because the mean of its divisors is an integer number (35633300976).

Almost surely, 2^{5605687942560} 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 5605687942560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10262390681088).

5605687942560 is an abundant number, since it is smaller than the sum of its proper divisors (14919093419616).

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

5605687942560 is a wasteful number, since it uses less digits than its factorization.

5605687942560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15589 (or 15578 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 5605687942560 in words is "five trillion, six hundred five billion, six hundred eighty-seven million, nine hundred forty-two thousand, five hundred sixty".