5059641600 has 648 divisors, whose sum is σ = 20239095240. Its totient is φ = 1197342720.

The previous prime is 5059641589. The next prime is 5059641611. The reversal of 5059641600 is 61469505.

5059641600 is a `hidden beast` number, since 5 + 0 + 5 + 9 + 6 + 41 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (5059641589) and next prime (5059641611).

It can be written as a sum of positive squares in 12 ways, for example, as 2989027584 + 2070614016 = 54672^2 + 45504^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21715084 + ... + 21715316.

Almost surely, 2^5059641600 is an apocalyptic number.

5059641600 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 5059641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10119547620).

5059641600 is an abundant number, since it is smaller than the sum of its proper divisors (15179453640).

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

5059641600 is a wasteful number, since it uses less digits than its factorization.

5059641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5059641600 is about 71131.1577299287. The cubic root of 5059641600 is about 1716.7481374390.

The spelling of 5059641600 in words is "five billion, fifty-nine million, six hundred forty-one thousand, six hundred".