5605824000 has 640 divisors, whose sum is σ = 22020590592. Its totient is φ = 1238630400.

The previous prime is 5605823999. The next prime is 5605824013. The reversal of 5605824000 is 4285065.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57791952 + ... + 57792048.

Almost surely, 2^5605824000 is an apocalyptic number.

5605824000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5605824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11010295296).

5605824000 is an abundant number, since it is smaller than the sum of its proper divisors (16414766592).

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

5605824000 is an equidigital number, since it uses as much as digits as its factorization.

5605824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5605824000 is about 74872.0508601174. The cubic root of 5605824000 is about 1776.4234036370.

The spelling of 5605824000 in words is "five billion, six hundred five million, eight hundred twenty-four thousand".