5605881600 has 648 divisors, whose sum is σ = 21574174720. Its totient is φ = 1277337600.

The previous prime is 5605881587. The next prime is 5605881623. The reversal of 5605881600 is 61885065.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44140737 + ... + 44140863.

Almost surely, 2^5605881600 is an apocalyptic number.

5605881600 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 5605881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10787087360).

5605881600 is an abundant number, since it is smaller than the sum of its proper divisors (15968293120).

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

5605881600 is a wasteful number, since it uses less digits than its factorization.

5605881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 5605881600 is about 74872.4355153484. The cubic root of 5605881600 is about 1776.4294878830.

The spelling of 5605881600 in words is "five billion, six hundred five million, eight hundred eighty-one thousand, six hundred".