5985107856 has 480 divisors, whose sum is σ = 22209078528. Its totient is φ = 1459814400.

The previous prime is 5985107819. The next prime is 5985107879. The reversal of 5985107856 is 6587015895.

5985107856 is a `hidden beast` number, since 5 + 9 + 8 + 510 + 78 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14925256 + ... + 14925656.

Almost surely, 2^5985107856 is an apocalyptic number.

5985107856 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 5985107856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11104539264).

5985107856 is an abundant number, since it is smaller than the sum of its proper divisors (16223970672).

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

5985107856 is a wasteful number, since it uses less digits than its factorization.

5985107856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The square root of 5985107856 is about 77363.4788256061. The cubic root of 5985107856 is about 1815.6159683325.

The spelling of 5985107856 in words is "five billion, nine hundred eighty-five million, one hundred seven thousand, eight hundred fifty-six".