5777112000 has 448 divisors, whose sum is σ = 21149706240. Its totient is φ = 1377792000.

The previous prime is 5777111971. The next prime is 5777112001. The reversal of 5777112000 is 2117775.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5777112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20855862 + ... + 20856138.

Almost surely, 2^5777112000 is an apocalyptic number.

5777112000 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 5777112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10574853120).

5777112000 is an abundant number, since it is smaller than the sum of its proper divisors (15372594240).

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

5777112000 is a wasteful number, since it uses less digits than its factorization.

5777112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3430, while the sum is 30.

The square root of 5777112000 is about 76007.3154373972. The cubic root of 5777112000 is about 1794.3352778560.

Adding to 5777112000 its reverse (2117775), we get a palindrome (5779229775).

The spelling of 5777112000 in words is "five billion, seven hundred seventy-seven million, one hundred twelve thousand".