5206824000 has 336 divisors, whose sum is σ = 21288548736. Its totient is φ = 1190016000.

The previous prime is 5206823959. The next prime is 5206824017. The reversal of 5206824000 is 4286025.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×5206824000² = 54222032333952000000, which contains 22 as substring.

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, 498835 + ... + 509165.

It is an arithmetic number, because the mean of its divisors is an integer number (63358776).

Almost surely, 2^5206824000 is an apocalyptic number.

5206824000 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 5206824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10644274368).

5206824000 is an abundant number, since it is smaller than the sum of its proper divisors (16081724736).

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

5206824000 is a wasteful number, since it uses less digits than its factorization.

5206824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10371 (or 10348 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5206824000 is about 72158.3259229314. The cubic root of 5206824000 is about 1733.2357275742.

The spelling of 5206824000 in words is "five billion, two hundred six million, eight hundred twenty-four thousand".