5609122421760 has 2816 divisors, whose sum is σ = 24689201725440. Its totient is φ = 1203948748800.

The previous prime is 5609122421753. The next prime is 5609122421783. The reversal of 5609122421760 is 671242219065.

5609122421760 is a `hidden beast` number, since 5 + 60 + 91 + 22 + 421 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 49638251464 + ... + 49638251576.

Almost surely, 2^{5609122421760} 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 5609122421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12344600862720).

5609122421760 is an abundant number, since it is smaller than the sum of its proper divisors (19080079303680).

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

5609122421760 is a wasteful number, since it uses less digits than its factorization.

5609122421760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 5609122421760 in words is "five trillion, six hundred nine billion, one hundred twenty-two million, four hundred twenty-one thousand, seven hundred sixty".