5059648800 has 432 divisors, whose sum is σ = 19603557792. Its totient is φ = 1269043200.

The previous prime is 5059648777. The next prime is 5059648801. The reversal of 5059648800 is 88469505.

5059648800 is a `hidden beast` number, since 50 + 596 + 4 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5059648801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3304035 + ... + 3305565.

It is an arithmetic number, because the mean of its divisors is an integer number (45378606).

Almost surely, 2^5059648800 is an apocalyptic number.

5059648800 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 5059648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9801778896).

5059648800 is an abundant number, since it is smaller than the sum of its proper divisors (14543908992).

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

5059648800 is a wasteful number, since it uses less digits than its factorization.

5059648800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5059648800 is about 71131.2083406433. The cubic root of 5059648800 is about 1716.7489517642.

The spelling of 5059648800 in words is "five billion, fifty-nine million, six hundred forty-eight thousand, eight hundred".