5617324818160 has 960 divisors, whose sum is σ = 16081960402944. Its totient is φ = 1806968217600.

The previous prime is 5617324818137. The next prime is 5617324818163. The reversal of 5617324818160 is 618184237165.

It is a super-2 number, since 2×5617324818160² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5617324818098 and 5617324818107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5617324818163) 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, 44230904017 + ... + 44230904143.

Almost surely, 2^{5617324818160} 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 5617324818160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8040980201472).

5617324818160 is an abundant number, since it is smaller than the sum of its proper divisors (10464635584784).

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

5617324818160 is a wasteful number, since it uses less digits than its factorization.

5617324818160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 5617324818160 in words is "five trillion, six hundred seventeen billion, three hundred twenty-four million, eight hundred eighteen thousand, one hundred sixty".