5820924816 has 480 divisors, whose sum is σ = 21017404800. Its totient is φ = 1532805120.

The previous prime is 5820924803. The next prime is 5820924829. The reversal of 5820924816 is 6184290285.

5820924816 is a `hidden beast` number, since 5 + 82 + 0 + 92 + 481 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5820924803) and next prime (5820924829).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16489696 + ... + 16490048.

It is an arithmetic number, because the mean of its divisors is an integer number (43786260).

Almost surely, 2^5820924816 is an apocalyptic number.

5820924816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5820924816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10508702400).

5820924816 is an abundant number, since it is smaller than the sum of its proper divisors (15196479984).

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

5820924816 is a wasteful number, since it uses less digits than its factorization.

5820924816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 5820924816 is about 76294.9855232964. The cubic root of 5820924816 is about 1798.8598557475.

The spelling of 5820924816 in words is "five billion, eight hundred twenty million, nine hundred twenty-four thousand, eight hundred sixteen".