5605093824 has 224 divisors, whose sum is σ = 16614769920. Its totient is φ = 1653350400.

The previous prime is 5605093799. The next prime is 5605093829. The reversal of 5605093824 is 4283905065.

It is a super-3 number, since 3×5605093824³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5605093829) 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, 17907492 + ... + 17907804.

It is an arithmetic number, because the mean of its divisors is an integer number (74173080).

Almost surely, 2^5605093824 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 5605093824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8307384960).

5605093824 is an abundant number, since it is smaller than the sum of its proper divisors (11009676096).

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

5605093824 is a wasteful number, since it uses less digits than its factorization.

5605093824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 5605093824 is about 74867.1745426525. The cubic root of 5605093824 is about 1776.3462720647.

Adding to 5605093824 its reverse (4283905065), we get a palindrome (9888998889).

The spelling of 5605093824 in words is "five billion, six hundred five million, ninety-three thousand, eight hundred twenty-four".