5605509756 has 288 divisors, whose sum is σ = 17768636928. Its totient is φ = 1331527680.

The previous prime is 5605509703. The next prime is 5605509757. The reversal of 5605509756 is 6579055065.

It is a happy number.

It is a super-2 number, since 2×5605509756² = 62843479249222359072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5605509757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29043996 + ... + 29044188.

It is an arithmetic number, because the mean of its divisors is an integer number (61696656).

Almost surely, 2^5605509756 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 5605509756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8884318464).

5605509756 is an abundant number, since it is smaller than the sum of its proper divisors (12163127172).

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

5605509756 is a wasteful number, since it uses less digits than its factorization.

5605509756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1417500, while the sum is 48.

The square root of 5605509756 is about 74869.9522906219. The cubic root of 5605509756 is about 1776.3902095382.

The spelling of 5605509756 in words is "five billion, six hundred five million, five hundred nine thousand, seven hundred fifty-six".