5200588800 has 936 divisors, whose sum is σ = 22182538560. Its totient is φ = 1194393600.

The previous prime is 5200588793. The next prime is 5200588823. The reversal of 5200588800 is 88850025.

5200588800 is a `hidden beast` number, since 520 + 0 + 58 + 8 + 80 + 0 = 666.

It is a super-2 number, since 2×5200588800² = 54092247733370880000, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 273715191 + ... + 273715209.

Almost surely, 2^5200588800 is an apocalyptic number.

5200588800 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 5200588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11091269280).

5200588800 is an abundant number, since it is smaller than the sum of its proper divisors (16981949760).

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

5200588800 is a wasteful number, since it uses less digits than its factorization.

5200588800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5200588800 is about 72115.1079871617. The cubic root of 5200588800 is about 1732.5435981607.

The spelling of 5200588800 in words is "five billion, two hundred million, five hundred eighty-eight thousand, eight hundred".