5985705600 has 480 divisors, whose sum is σ = 25251732000. Its totient is φ = 1367746560.

The previous prime is 5985705571. The next prime is 5985705611. The reversal of 5985705600 is 65075895.

5985705600 is a `hidden beast` number, since 5 + 9 + 85 + 7 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1812751 + ... + 1816049.

It is an arithmetic number, because the mean of its divisors is an integer number (52607775).

Almost surely, 2^5985705600 is an apocalyptic number.

5985705600 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 5985705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12625866000).

5985705600 is an abundant number, since it is smaller than the sum of its proper divisors (19266026400).

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

5985705600 is a wasteful number, since it uses less digits than its factorization.

5985705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3316 counting only the distinct ones).

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

The square root of 5985705600 is about 77367.3419473617. The cubic root of 5985705600 is about 1815.6764093165.

The spelling of 5985705600 in words is "five billion, nine hundred eighty-five million, seven hundred five thousand, six hundred".