5861936466720 has 288 divisors, whose sum is σ = 21378514405248. Its totient is φ = 1457480638464.

The previous prime is 5861936466709. The next prime is 5861936466761. The reversal of 5861936466720 is 276646391685.

5861936466720 is a `hidden beast` number, since 5 + 8 + 61 + 93 + 6 + 466 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1500397 + ... + 3738323.

It is an arithmetic number, because the mean of its divisors is an integer number (74230952796).

It is a 1-persistent number, because it is pandigital, but 2⋅5861936466720 = 11723872933440 is not.

Almost surely, 2^{5861936466720} 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 5861936466720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10689257202624).

5861936466720 is an abundant number, since it is smaller than the sum of its proper divisors (15516577938528).

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

5861936466720 is a wasteful number, since it uses less digits than its factorization.

5861936466720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238072 (or 2238061 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 5861936466720 in words is "five trillion, eight hundred sixty-one billion, nine hundred thirty-six million, four hundred sixty-six thousand, seven hundred twenty".