5985576000 has 336 divisors, whose sum is σ = 22211629440. Its totient is φ = 1595635200.

The previous prime is 5985575957. The next prime is 5985576011. The reversal of 5985576000 is 6755895.

5985576000 is a `hidden beast` number, since 5 + 98 + 557 + 6 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×5985576000³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1942461 + ... + 1945539.

It is an arithmetic number, because the mean of its divisors is an integer number (66106040).

Almost surely, 2^5985576000 is an apocalyptic number.

5985576000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5985576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11105814720).

5985576000 is an abundant number, since it is smaller than the sum of its proper divisors (16226053440).

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

5985576000 is an equidigital number, since it uses as much as digits as its factorization.

5985576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 5985576000 is about 77366.5043801256. The cubic root of 5985576000 is about 1815.6633051326.

The spelling of 5985576000 in words is "five billion, nine hundred eighty-five million, five hundred seventy-six thousand".