5605899600 has 480 divisors, whose sum is σ = 22338498816. Its totient is φ = 1172275200.

The previous prime is 5605899589. The next prime is 5605899653. The reversal of 5605899600 is 69985065.

It is a super-2 number, since 2×5605899600² = 62852220650560320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5605899600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5283070 + ... + 5284130.

Almost surely, 2^5605899600 is an apocalyptic number.

5605899600 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 5605899600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11169249408).

5605899600 is an abundant number, since it is smaller than the sum of its proper divisors (16732599216).

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

5605899600 is a wasteful number, since it uses less digits than its factorization.

5605899600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The square root of 5605899600 is about 74872.5557197028. Note that the first 3 decimals coincide. The cubic root of 5605899600 is about 1776.4313892014.

The spelling of 5605899600 in words is "five billion, six hundred five million, eight hundred ninety-nine thousand, six hundred".