5861812320 has 1152 divisors, whose sum is σ = 26916986880. Its totient is φ = 1164533760.

The previous prime is 5861812301. The next prime is 5861812321. The reversal of 5861812320 is 232181685.

It is a happy number.

5861812320 is a `hidden beast` number, since 5 + 8 + 618 + 1 + 2 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5861812321) 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 191 ways as a sum of consecutive naturals, for example, 158427342 + ... + 158427378.

It is an arithmetic number, because the mean of its divisors is an integer number (23365440).

Almost surely, 2^5861812320 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 5861812320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13458493440).

5861812320 is an abundant number, since it is smaller than the sum of its proper divisors (21055174560).

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

5861812320 is a wasteful number, since it uses less digits than its factorization.

5861812320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5861812320 is about 76562.4733142811. The cubic root of 5861812320 is about 1803.0618996968.

The spelling of 5861812320 in words is "five billion, eight hundred sixty-one million, eight hundred twelve thousand, three hundred twenty".