5985121680 has 60 divisors (see below), whose sum is σ = 20100036060. Its totient is φ = 1596032256.

The previous prime is 5985121679. The next prime is 5985121691. The reversal of 5985121680 is 861215895.

It is a happy number.

5985121680 is a `hidden beast` number, since 59 + 8 + 512 + 1 + 6 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1772073216 + 4213048464 = 42096^2 + 64908^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×5985121680³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4155615 + ... + 4157054.

It is an arithmetic number, because the mean of its divisors is an integer number (335000601).

Almost surely, 2^5985121680 is an apocalyptic number.

It is an amenable number.

5985121680 is an abundant number, since it is smaller than the sum of its proper divisors (14114914380).

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

5985121680 is a wasteful number, since it uses less digits than its factorization.

5985121680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8312688 (or 8312679 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The square root of 5985121680 is about 77363.5681700372. The cubic root of 5985121680 is about 1815.6173661941.

The spelling of 5985121680 in words is "five billion, nine hundred eighty-five million, one hundred twenty-one thousand, six hundred eighty".