5665216256436 has 96 divisors (see below), whose sum is σ = 14527579207680. Its totient is φ = 1704037132800.

The previous prime is 5665216256383. The next prime is 5665216256437. The reversal of 5665216256436 is 6346526125665.

It is a super-2 number, since 2×5665216256436² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5665216256437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9476245 + ... + 10056323.

It is an arithmetic number, because the mean of its divisors is an integer number (151328950080).

Almost surely, 2^{5665216256436} 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 5665216256436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7263789603840).

5665216256436 is an abundant number, since it is smaller than the sum of its proper divisors (8862362951244).

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

5665216256436 is a wasteful number, since it uses less digits than its factorization.

5665216256436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580645 (or 580643 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 57.

The spelling of 5665216256436 in words is "five trillion, six hundred sixty-five billion, two hundred sixteen million, two hundred fifty-six thousand, four hundred thirty-six".