5777149280 has 192 divisors, whose sum is σ = 16155925632. Its totient is φ = 1911029760.

The previous prime is 5777149271. The next prime is 5777149289. The reversal of 5777149280 is 829417775.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5777149271) and next prime (5777149289).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5777149289) 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 31 ways as a sum of consecutive naturals, for example, 4453592 + ... + 4454888.

It is an arithmetic number, because the mean of its divisors is an integer number (84145446).

Almost surely, 2^5777149280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5777149280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8077962816).

5777149280 is an abundant number, since it is smaller than the sum of its proper divisors (10378776352).

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

5777149280 is a wasteful number, since it uses less digits than its factorization.

5777149280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 50.

The square root of 5777149280 is about 76007.5606765538. The cubic root of 5777149280 is about 1794.3391374935.

The spelling of 5777149280 in words is "five billion, seven hundred seventy-seven million, one hundred forty-nine thousand, two hundred eighty".