5904599904 has 288 divisors, whose sum is σ = 20363616000. Its totient is φ = 1585308672.

The previous prime is 5904599903. The next prime is 5904599917. The reversal of 5904599904 is 4099954095.

5904599904 is a `hidden beast` number, since 590 + 45 + 9 + 9 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5904599903) 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 47 ways as a sum of consecutive naturals, for example, 5323702 + ... + 5324810.

It is an arithmetic number, because the mean of its divisors is an integer number (70707000).

Almost surely, 2^5904599904 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 5904599904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10181808000).

5904599904 is an abundant number, since it is smaller than the sum of its proper divisors (14459016096).

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

5904599904 is a wasteful number, since it uses less digits than its factorization.

5904599904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 5904599904 is about 76841.3944693874. The cubic root of 5904599904 is about 1807.4383452624.

The spelling of 5904599904 in words is "five billion, nine hundred four million, five hundred ninety-nine thousand, nine hundred four".