5985830321856 has 1344 divisors, whose sum is σ = 23221692748800. Its totient is φ = 1483616010240.

The previous prime is 5985830321839. The next prime is 5985830321929. The reversal of 5985830321856 is 6581230385895.

5985830321856 is a `hidden beast` number, since 5 + 9 + 8 + 583 + 0 + 32 + 18 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 5985830321793 and 5985830321802.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2348304070 + ... + 2348306618.

It is an arithmetic number, because the mean of its divisors is an integer number (17278045200).

Almost surely, 2^{5985830321856} is an apocalyptic number.

5985830321856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5985830321856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11610846374400).

5985830321856 is an abundant number, since it is smaller than the sum of its proper divisors (17235862426944).

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

5985830321856 is a wasteful number, since it uses less digits than its factorization.

5985830321856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 5985830321856 in words is "five trillion, nine hundred eighty-five billion, eight hundred thirty million, three hundred twenty-one thousand, eight hundred fifty-six".