5202856800 has 360 divisors, whose sum is σ = 20094167016. Its totient is φ = 1305538560.

The previous prime is 5202856753. The next prime is 5202856801. The reversal of 5202856800 is 86582025.

5202856800 is a `hidden beast` number, since 520 + 2 + 8 + 56 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 (5202856801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1099239 + ... + 1103961.

Almost surely, 2^5202856800 is an apocalyptic number.

5202856800 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 5202856800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10047083508).

5202856800 is an abundant number, since it is smaller than the sum of its proper divisors (14891310216).

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

5202856800 is a wasteful number, since it uses less digits than its factorization.

5202856800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5202856800 is about 72130.8311334342. The cubic root of 5202856800 is about 1732.7954182244.

The spelling of 5202856800 in words is "five billion, two hundred two million, eight hundred fifty-six thousand, eight hundred".