5200857600 has 480 divisors, whose sum is σ = 18851222016. Its totient is φ = 1258291200.

The previous prime is 5200857559. The next prime is 5200857661. The reversal of 5200857600 is 67580025.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20236672 + ... + 20236928.

Almost surely, 2^5200857600 is an apocalyptic number.

5200857600 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 5200857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9425611008).

5200857600 is an abundant number, since it is smaller than the sum of its proper divisors (13650364416).

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

5200857600 is a wasteful number, since it uses less digits than its factorization.

5200857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 5200857600 is about 72116.9716502295. The cubic root of 5200857600 is about 1732.5734473255.

The spelling of 5200857600 in words is "five billion, two hundred million, eight hundred fifty-seven thousand, six hundred".