5084856000 has 1120 divisors, whose sum is σ = 23013619200. Its totient is φ = 1082419200.

The previous prime is 5084855999. The next prime is 5084856011. The reversal of 5084856000 is 6584805.

It is a happy number.

5084856000 is a `hidden beast` number, since 5 + 0 + 8 + 48 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 86183971 + ... + 86184029.

Almost surely, 2^5084856000 is an apocalyptic number.

5084856000 is a gapful number since it is divisible by the number (50) 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 5084856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11506809600).

5084856000 is an abundant number, since it is smaller than the sum of its proper divisors (17928763200).

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

5084856000 is a wasteful number, since it uses less digits than its factorization.

5084856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5084856000 is about 71308.1762492914. The cubic root of 5084856000 is about 1719.5951814557.

The spelling of 5084856000 in words is "five billion, eighty-four million, eight hundred fifty-six thousand".