5985396720 has 640 divisors, whose sum is σ = 24041318400. Its totient is φ = 1357627392.

The previous prime is 5985396719. The next prime is 5985396731. The reversal of 5985396720 is 276935895.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 16046454 + ... + 16046826.

It is an arithmetic number, because the mean of its divisors is an integer number (37564560).

Almost surely, 2^5985396720 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 5985396720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12020659200).

5985396720 is an abundant number, since it is smaller than the sum of its proper divisors (18055921680).

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

5985396720 is a wasteful number, since it uses less digits than its factorization.

5985396720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 5985396720 is about 77365.3457305013. The cubic root of 5985396720 is about 1815.6451773664.

The spelling of 5985396720 in words is "five billion, nine hundred eighty-five million, three hundred ninety-six thousand, seven hundred twenty".