5861730240 has 280 divisors, whose sum is σ = 21210148080. Its totient is φ = 1536233472.

The previous prime is 5861730229. The next prime is 5861730293. The reversal of 5861730240 is 420371685.

5861730240 is a `hidden beast` number, since 5 + 8 + 617 + 30 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5861730195 and 5861730204.

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 39 ways as a sum of consecutive naturals, for example, 1527364 + ... + 1531196.

Almost surely, 2^5861730240 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 5861730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10605074040).

5861730240 is an abundant number, since it is smaller than the sum of its proper divisors (15348417840).

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

5861730240 is a wasteful number, since it uses less digits than its factorization.

5861730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5861730240 is about 76561.9372795647. The cubic root of 5861730240 is about 1803.0534838689.

The spelling of 5861730240 in words is "five billion, eight hundred sixty-one million, seven hundred thirty thousand, two hundred forty".