5083608600 has 672 divisors, whose sum is σ = 21517060320. Its totient is φ = 1089884160.

The previous prime is 5083608587. The next prime is 5083608601. The reversal of 5083608600 is 68063805.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5083608601) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 17350054 + ... + 17350346.

It is an arithmetic number, because the mean of its divisors is an integer number (32019435).

Almost surely, 2^5083608600 is an apocalyptic number.

5083608600 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 5083608600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10758530160).

5083608600 is an abundant number, since it is smaller than the sum of its proper divisors (16433451720).

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

5083608600 is a wasteful number, since it uses less digits than its factorization.

5083608600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5083608600 is about 71299.4291702255. The cubic root of 5083608600 is about 1719.4545548279.

The spelling of 5083608600 in words is "five billion, eighty-three million, six hundred eight thousand, six hundred".