5795438220 has 576 divisors, whose sum is σ = 22190837760. Its totient is φ = 1250380800.

The previous prime is 5795438203. The next prime is 5795438221. The reversal of 5795438220 is 228345975.

5795438220 is a `hidden beast` number, since 5 + 7 + 9 + 543 + 82 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5795438221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21544246 + ... + 21544514.

It is an arithmetic number, because the mean of its divisors is an integer number (38525760).

Almost surely, 2^5795438220 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 5795438220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11095418880).

5795438220 is an abundant number, since it is smaller than the sum of its proper divisors (16395399540).

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

5795438220 is a wasteful number, since it uses less digits than its factorization.

5795438220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5795438220 is about 76127.7756144234. The cubic root of 5795438220 is about 1796.2306120178.

The spelling of 5795438220 in words is "five billion, seven hundred ninety-five million, four hundred thirty-eight thousand, two hundred twenty".