5665100800 has 198 divisors, whose sum is σ = 14844749838. Its totient is φ = 2143272960.

The previous prime is 5665100783. The next prime is 5665100849. The reversal of 5665100800 is 80015665.

It can be written as a sum of positive squares in 3 ways, for example, as 72454144 + 5592646656 = 8512^2 + 74784^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9241294 + ... + 9241906.

Almost surely, 2^5665100800 is an apocalyptic number.

5665100800 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 5665100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7422374919).

5665100800 is an abundant number, since it is smaller than the sum of its proper divisors (9179649038).

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

5665100800 is a wasteful number, since it uses less digits than its factorization.

5665100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 5665100800 is about 75266.8638910909. The cubic root of 5665100800 is about 1782.6628494321.

The spelling of 5665100800 in words is "five billion, six hundred sixty-five million, one hundred thousand, eight hundred".