5985645120 has 896 divisors, whose sum is σ = 27200839680. Its totient is φ = 1204346880.

The previous prime is 5985645101. The next prime is 5985645121. The reversal of 5985645120 is 215465895.

5985645120 is a `hidden beast` number, since 59 + 85 + 6 + 4 + 512 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5985645121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18083355 + ... + 18083685.

It is an arithmetic number, because the mean of its divisors is an integer number (30358080).

Almost surely, 2^5985645120 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 5985645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13600419840).

5985645120 is an abundant number, since it is smaller than the sum of its proper divisors (21215194560).

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

5985645120 is a wasteful number, since it uses less digits than its factorization.

5985645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 5985645120 is about 77366.9510837800. The cubic root of 5985645120 is about 1815.6702940542.

It can be divided in two parts, 59856 and 45120, that added together give a 4-th power (104976 = 18⁴).

The spelling of 5985645120 in words is "five billion, nine hundred eighty-five million, six hundred forty-five thousand, one hundred twenty".