5904123120 has 240 divisors, whose sum is σ = 23993910720. Its totient is φ = 1270112256.

The previous prime is 5904123109. The next prime is 5904123179. The reversal of 5904123120 is 213214095.

5904123120 is a `hidden beast` number, since 590 + 41 + 2 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5904123120² = 69717339632237068800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51226 + ... + 120134.

It is an arithmetic number, because the mean of its divisors is an integer number (99974628).

Almost surely, 2^5904123120 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 5904123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11996955360).

5904123120 is an abundant number, since it is smaller than the sum of its proper divisors (18089787600).

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

5904123120 is a wasteful number, since it uses less digits than its factorization.

5904123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68952 (or 68943 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5904123120 is about 76838.2920164159. The cubic root of 5904123120 is about 1807.3896950070.

The spelling of 5904123120 in words is "five billion, nine hundred four million, one hundred twenty-three thousand, one hundred twenty".