5239126800 has 180 divisors, whose sum is σ = 18228636244. Its totient is φ = 1393459200.

The previous prime is 5239126799. The next prime is 5239126811. The reversal of 5239126800 is 86219325.

5239126800 is a `hidden beast` number, since 5 + 2 + 391 + 268 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 279023616 + 4960103184 = 16704^2 + 70428^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 1557120 + ... + 1560480.

Almost surely, 2^5239126800 is an apocalyptic number.

5239126800 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 5239126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9114318122).

5239126800 is an abundant number, since it is smaller than the sum of its proper divisors (12989509444).

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

5239126800 is a wasteful number, since it uses less digits than its factorization.

5239126800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3818 (or 3804 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5239126800 is about 72381.8126327325. The cubic root of 5239126800 is about 1736.8126349647.

The spelling of 5239126800 in words is "five billion, two hundred thirty-nine million, one hundred twenty-six thousand, eight hundred".