5820008820 has 192 divisors, whose sum is σ = 17994203136. Its totient is φ = 1399080960.

The previous prime is 5820008819. The next prime is 5820008833. The reversal of 5820008820 is 288000285.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3255967 + ... + 3257753.

It is an arithmetic number, because the mean of its divisors is an integer number (93719808).

Almost surely, 2^5820008820 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 5820008820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8997101568).

5820008820 is an abundant number, since it is smaller than the sum of its proper divisors (12174194316).

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

5820008820 is a wasteful number, since it uses less digits than its factorization.

5820008820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 5820008820 is about 76288.9822975769. The cubic root of 5820008820 is about 1798.7654930289.

The spelling of 5820008820 in words is "five billion, eight hundred twenty million, eight thousand, eight hundred twenty".