5820359904 has 144 divisors (see below), whose sum is σ = 17605839888. Its totient is φ = 1817604096.

The previous prime is 5820359903. The next prime is 5820359933. The reversal of 5820359904 is 4099530285.

5820359904 is a `hidden beast` number, since 58 + 2 + 0 + 3 + 599 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 5820359904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5820359903) 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 23 ways as a sum of consecutive naturals, for example, 1108774 + ... + 1114010.

It is an arithmetic number, because the mean of its divisors is an integer number (122262777).

Almost surely, 2^5820359904 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 5820359904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8802919944).

5820359904 is an abundant number, since it is smaller than the sum of its proper divisors (11785479984).

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

5820359904 is a wasteful number, since it uses less digits than its factorization.

5820359904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5497 (or 5486 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5820359904 is about 76291.2832766627. The cubic root of 5820359904 is about 1798.8016616503.

The spelling of 5820359904 in words is "five billion, eight hundred twenty million, three hundred fifty-nine thousand, nine hundred four".