5825898000 has 640 divisors, whose sum is σ = 23116853760. Its totient is φ = 1393459200.

The previous prime is 5825897981. The next prime is 5825898007. The reversal of 5825898000 is 8985285.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5825898007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30185904 + ... + 30186096.

It is an arithmetic number, because the mean of its divisors is an integer number (36120084).

Almost surely, 2^5825898000 is an apocalyptic number.

5825898000 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 5825898000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11558426880).

5825898000 is an abundant number, since it is smaller than the sum of its proper divisors (17290955760).

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

5825898000 is a wasteful number, since it uses less digits than its factorization.

5825898000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 5825898000 is about 76327.5703792542. The cubic root of 5825898000 is about 1799.3720031477.

The spelling of 5825898000 in words is "five billion, eight hundred twenty-five million, eight hundred ninety-eight thousand".