5284177920 has 288 divisors, whose sum is σ = 20932853760. Its totient is φ = 1207664640.

The previous prime is 5284177907. The next prime is 5284177967. The reversal of 5284177920 is 297714825.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 641025 + ... + 649215.

It is an arithmetic number, because the mean of its divisors is an integer number (72683520).

Almost surely, 2^5284177920 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 5284177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10466426880).

5284177920 is an abundant number, since it is smaller than the sum of its proper divisors (15648675840).

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

5284177920 is a wasteful number, since it uses less digits than its factorization.

5284177920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8231 (or 8208 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 5284177920 is about 72692.3511794742. The cubic root of 5284177920 is about 1741.7767028404.

The spelling of 5284177920 in words is "five billion, two hundred eighty-four million, one hundred seventy-seven thousand, nine hundred twenty".