5825897280 has 672 divisors, whose sum is σ = 24649297920. Its totient is φ = 1232732160.

The previous prime is 5825897243. The next prime is 5825897281. The reversal of 5825897280 is 827985285.

5825897280 is a `hidden beast` number, since 58 + 2 + 589 + 7 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×5825897280² = 67882158234222796800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5825897281) 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 95 ways as a sum of consecutive naturals, for example, 30501985 + ... + 30502175.

Almost surely, 2^5825897280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5825897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12324648960).

5825897280 is an abundant number, since it is smaller than the sum of its proper divisors (18823400640).

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

5825897280 is a wasteful number, since it uses less digits than its factorization.

5825897280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 5825897280 is about 76327.5656627407. The cubic root of 5825897280 is about 1799.3719290219.

The spelling of 5825897280 in words is "five billion, eight hundred twenty-five million, eight hundred ninety-seven thousand, two hundred eighty".