5689777200 has 240 divisors, whose sum is σ = 19257148416. Its totient is φ = 1433779200.

The previous prime is 5689777193. The next prime is 5689777207. The reversal of 5689777200 is 27779865.

It is an interprime number because it is at equal distance from previous prime (5689777193) and next prime (5689777207).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (5689777207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1597822 + ... + 1601378.

Almost surely, 2^5689777200 is an apocalyptic number.

5689777200 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 5689777200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9628574208).

5689777200 is an abundant number, since it is smaller than the sum of its proper divisors (13567371216).

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

5689777200 is a wasteful number, since it uses less digits than its factorization.

5689777200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3652 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 51.

The square root of 5689777200 is about 75430.6118230523. The cubic root of 5689777200 is about 1785.2474450803.

The spelling of 5689777200 in words is "five billion, six hundred eighty-nine million, seven hundred seventy-seven thousand, two hundred".