5985307020 has 576 divisors, whose sum is σ = 22832087040. Its totient is φ = 1136678400.

The previous prime is 5985306991. The next prime is 5985307061. The reversal of 5985307020 is 207035895.

It is a super-2 number, since 2×5985307020² = 71647800247322560800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5985307020.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75763341 + ... + 75763419.

It is an arithmetic number, because the mean of its divisors is an integer number (39639040).

Almost surely, 2^5985307020 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 5985307020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11416043520).

5985307020 is an abundant number, since it is smaller than the sum of its proper divisors (16846780020).

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

5985307020 is a wasteful number, since it uses less digits than its factorization.

5985307020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 5985307020 is about 77364.7660114086. The cubic root of 5985307020 is about 1815.6361072805.

It can be divided in two parts, 598530 and 7020, that added together give a triangular number (605550 = T₁₁₀₀).

The spelling of 5985307020 in words is "five billion, nine hundred eighty-five million, three hundred seven thousand, twenty".