5768988800 has 192 divisors, whose sum is σ = 15034930560. Its totient is φ = 2182963200.

The previous prime is 5768988793. The next prime is 5768988809. The reversal of 5768988800 is 88898675.

It is a self number, because there is not a number n which added to its sum of digits gives 5768988800.

It is not an unprimeable number, because it can be changed into a prime (5768988809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7580420 + ... + 7581180.

It is an arithmetic number, because the mean of its divisors is an integer number (78306930).

Almost surely, 2^5768988800 is an apocalyptic number.

5768988800 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 5768988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7517465280).

5768988800 is an abundant number, since it is smaller than the sum of its proper divisors (9265941760).

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

5768988800 is a wasteful number, since it uses less digits than its factorization.

5768988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 59.

The square root of 5768988800 is about 75953.8596780967. The cubic root of 5768988800 is about 1793.4938781321.

The spelling of 5768988800 in words is "five billion, seven hundred sixty-eight million, nine hundred eighty-eight thousand, eight hundred".