5777450000 has 240 divisors, whose sum is σ = 16948165248. Its totient is φ = 1862400000.

The previous prime is 5777449987. The next prime is 5777450027. The reversal of 5777450000 is 547775.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

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, 5949515 + ... + 5950485.

Almost surely, 2^5777450000 is an apocalyptic number.

5777450000 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 5777450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8474082624).

5777450000 is an abundant number, since it is smaller than the sum of its proper divisors (11170715248).

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

5777450000 is an equidigital number, since it uses as much as digits as its factorization.

5777450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 35.

The square root of 5777450000 is about 76009.5388750649. The cubic root of 5777450000 is about 1794.3702707438.

Adding to 5777450000 its reverse (547775), we get a palindrome (5777997775).

The spelling of 5777450000 in words is "five billion, seven hundred seventy-seven million, four hundred fifty thousand".