5777255200 has 36 divisors (see below), whose sum is σ = 14103726210. Its totient is φ = 2310901760.

The previous prime is 5777255191. The next prime is 5777255219. The reversal of 5777255200 is 25527775.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5636405776 + 140849424 = 75076^2 + 11868^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3609985 + ... + 3611584.

Almost surely, 2^5777255200 is an apocalyptic number.

5777255200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5777255200 is an abundant number, since it is smaller than the sum of its proper divisors (8326471010).

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

5777255200 is a wasteful number, since it uses less digits than its factorization.

5777255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7221589 (or 7221576 counting only the distinct ones).

The product of its (nonzero) digits is 171500, while the sum is 40.

The square root of 5777255200 is about 76008.2574461486. The cubic root of 5777255200 is about 1794.3501034118.

The spelling of 5777255200 in words is "five billion, seven hundred seventy-seven million, two hundred fifty-five thousand, two hundred".