5605864800 has 144 divisors (see below), whose sum is σ = 18298203840. Its totient is φ = 1490711040.

The previous prime is 5605864787. The next prime is 5605864829. The reversal of 5605864800 is 84685065.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 906519 + ... + 912681.

It is an arithmetic number, because the mean of its divisors is an integer number (127070860).

Almost surely, 2^5605864800 is an apocalyptic number.

5605864800 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 5605864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9149101920).

5605864800 is an abundant number, since it is smaller than the sum of its proper divisors (12692339040).

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

5605864800 is a wasteful number, since it uses less digits than its factorization.

5605864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6565 (or 6552 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 5605864800 is about 74872.3233244435. The cubic root of 5605864800 is about 1776.4277133156.

The spelling of 5605864800 in words is "five billion, six hundred five million, eight hundred sixty-four thousand, eight hundred".