5820338916 has 168 divisors, whose sum is σ = 17528012544. Its totient is φ = 1655821440.

The previous prime is 5820338903. The next prime is 5820338929. The reversal of 5820338916 is 6198330285.

It is a happy number.

5820338916 is a `hidden beast` number, since 58 + 203 + 389 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (5820338903) and next prime (5820338929).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6388501 + ... + 6389411.

It is an arithmetic number, because the mean of its divisors is an integer number (104333408).

Almost surely, 2^5820338916 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 5820338916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8764006272).

5820338916 is an abundant number, since it is smaller than the sum of its proper divisors (11707673628).

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

5820338916 is a wasteful number, since it uses less digits than its factorization.

5820338916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5820338916 is about 76291.1457247825. The cubic root of 5820338916 is about 1798.7994995105.

The spelling of 5820338916 in words is "five billion, eight hundred twenty million, three hundred thirty-eight thousand, nine hundred sixteen".