5985122304 has 192 divisors, whose sum is σ = 18335116800. Its totient is φ = 1700757504.

The previous prime is 5985122279. The next prime is 5985122369. The reversal of 5985122304 is 4032215895.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13633317 + ... + 13633755.

It is an arithmetic number, because the mean of its divisors is an integer number (95495400).

Almost surely, 2^5985122304 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 5985122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9167558400).

5985122304 is an abundant number, since it is smaller than the sum of its proper divisors (12349994496).

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

5985122304 is a wasteful number, since it uses less digits than its factorization.

5985122304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 5985122304 is about 77363.5722029432. The cubic root of 5985122304 is about 1815.6174292919.

The spelling of 5985122304 in words is "five billion, nine hundred eighty-five million, one hundred twenty-two thousand, three hundred four".