5985887040 has 504 divisors, whose sum is σ = 24853282272. Its totient is φ = 1367331840.

The previous prime is 5985887021. The next prime is 5985887041. The reversal of 5985887040 is 407885895.

5985887040 is a `hidden beast` number, since 59 + 8 + 588 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5985887041) 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 71 ways as a sum of consecutive naturals, for example, 3809455 + ... + 3811025.

It is an arithmetic number, because the mean of its divisors is an integer number (49312068).

Almost surely, 2^5985887040 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 5985887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12426641136).

5985887040 is an abundant number, since it is smaller than the sum of its proper divisors (18867395232).

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

5985887040 is a wasteful number, since it uses less digits than its factorization.

5985887040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 5985887040 is about 77368.5145262593. The cubic root of 5985887040 is about 1815.6947548562.

It can be divided in two parts, 5985 and 887040, that added together give a square (893025 = 945²).

The spelling of 5985887040 in words is "five billion, nine hundred eighty-five million, eight hundred eighty-seven thousand, forty".