5204528800 has 72 divisors (see below), whose sum is σ = 12761487900. Its totient is φ = 2072647680.

The previous prime is 5204528783. The next prime is 5204528831. The reversal of 5204528800 is 88254025.

It can be written as a sum of positive squares in 6 ways, for example, as 3572691984 + 1631836816 = 59772^2 + 40396^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168996 + ... + 197404.

Almost surely, 2^5204528800 is an apocalyptic number.

5204528800 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 5204528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6380743950).

5204528800 is an abundant number, since it is smaller than the sum of its proper divisors (7556959100).

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

5204528800 is a wasteful number, since it uses less digits than its factorization.

5204528800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28658 (or 28645 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 5204528800 is about 72142.4202532740. The cubic root of 5204528800 is about 1732.9810164930.

The spelling of 5204528800 in words is "five billion, two hundred four million, five hundred twenty-eight thousand, eight hundred".