5659441200 has 270 divisors, whose sum is σ = 22847048484. Its totient is φ = 1293546240.

The previous prime is 5659441163. The next prime is 5659441243. The reversal of 5659441200 is 21449565.

5659441200 is a `hidden beast` number, since 5 + 6 + 5 + 9 + 441 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 160359 + ... + 192441.

Almost surely, 2^5659441200 is an apocalyptic number.

5659441200 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 5659441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11423524242).

5659441200 is an abundant number, since it is smaller than the sum of its proper divisors (17187607284).

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

5659441200 is a wasteful number, since it uses less digits than its factorization.

5659441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32121 (or 32100 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5659441200 is about 75229.2576063329. The cubic root of 5659441200 is about 1782.0690076705.

It can be divided in two parts, 5659441 and 200, that added together give a square (5659641 = 2379²).

The spelling of 5659441200 in words is "five billion, six hundred fifty-nine million, four hundred forty-one thousand, two hundred".