5665809600 has 336 divisors, whose sum is σ = 22533498240. Its totient is φ = 1373414400.

The previous prime is 5665809577. The next prime is 5665809613. The reversal of 5665809600 is 69085665.

5665809600 is a `hidden beast` number, since 5 + 6 + 6 + 580 + 9 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469239 + ... + 481161.

Almost surely, 2^5665809600 is an apocalyptic number.

5665809600 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 5665809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11266749120).

5665809600 is an abundant number, since it is smaller than the sum of its proper divisors (16867688640).

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

5665809600 is a wasteful number, since it uses less digits than its factorization.

5665809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11965 (or 11944 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5665809600 is about 75271.5723231553. The cubic root of 5665809600 is about 1782.7371934305.

The spelling of 5665809600 in words is "five billion, six hundred sixty-five million, eight hundred nine thousand, six hundred".