5985376320 has 672 divisors, whose sum is σ = 25334878464. Its totient is φ = 1167851520.

The previous prime is 5985376307. The next prime is 5985376321. The reversal of 5985376320 is 236735895.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5985376320.

It is not an unprimeable number, because it can be changed into a prime (5985376321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13822824 + ... + 13823256.

It is an arithmetic number, because the mean of its divisors is an integer number (37700712).

Almost surely, 2^5985376320 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 5985376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12667439232).

5985376320 is an abundant number, since it is smaller than the sum of its proper divisors (19349502144).

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

5985376320 is a wasteful number, since it uses less digits than its factorization.

5985376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The square root of 5985376320 is about 77365.2138884137. The cubic root of 5985376320 is about 1815.6431146123.

The spelling of 5985376320 in words is "five billion, nine hundred eighty-five million, three hundred seventy-six thousand, three hundred twenty".