5059328400 has 1080 divisors, whose sum is σ = 22559359680. Its totient is φ = 1043159040.

The previous prime is 5059328399. The next prime is 5059328453. The reversal of 5059328400 is 48239505.

5059328400 is a `hidden beast` number, since 5 + 0 + 593 + 28 + 40 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 117658779 + ... + 117658821.

It is an arithmetic number, because the mean of its divisors is an integer number (20888296).

Almost surely, 2^5059328400 is an apocalyptic number.

5059328400 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 5059328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11279679840).

5059328400 is an abundant number, since it is smaller than the sum of its proper divisors (17500031280).

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

5059328400 is a wasteful number, since it uses less digits than its factorization.

5059328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5059328400 is about 71128.9561289915. The cubic root of 5059328400 is about 1716.7127135458.

The spelling of 5059328400 in words is "five billion, fifty-nine million, three hundred twenty-eight thousand, four hundred".