5384861820 has 288 divisors, whose sum is σ = 19118561280. Its totient is φ = 1214922240.

The previous prime is 5384861819. The next prime is 5384861827. The reversal of 5384861820 is 281684835.

5384861820 is a `hidden beast` number, since 5 + 3 + 8 + 4 + 8 + 618 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5384861827) 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 95 ways as a sum of consecutive naturals, for example, 1376307 + ... + 1380213.

Almost surely, 2^5384861820 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 5384861820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9559280640).

5384861820 is an abundant number, since it is smaller than the sum of its proper divisors (13733699460).

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

5384861820 is a wasteful number, since it uses less digits than its factorization.

5384861820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 5384861820 is about 73381.6177254222. The cubic root of 5384861820 is about 1752.7696898013.

The spelling of 5384861820 in words is "five billion, three hundred eighty-four million, eight hundred sixty-one thousand, eight hundred twenty".