5985566720 has 256 divisors, whose sum is σ = 17439649920. Its totient is φ = 1925185536.

The previous prime is 5985566689. The next prime is 5985566723. The reversal of 5985566720 is 276655895.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-3 number, since 3×5985566720³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5985566723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19496807 + ... + 19497113.

Almost surely, 2^5985566720 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 5985566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8719824960).

5985566720 is an abundant number, since it is smaller than the sum of its proper divisors (11454083200).

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

5985566720 is an equidigital number, since it uses as much as digits as its factorization.

5985566720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 53.

The square root of 5985566720 is about 77366.4444058275. Note that the first 4 decimals coincide. The cubic root of 5985566720 is about 1815.6623668011.

The spelling of 5985566720 in words is "five billion, nine hundred eighty-five million, five hundred sixty-six thousand, seven hundred twenty".