5825059520 has 448 divisors, whose sum is σ = 18065617920. Its totient is φ = 1741160448.

The previous prime is 5825059507. The next prime is 5825059531. The reversal of 5825059520 is 259505285.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60052112 + ... + 60052208.

It is an arithmetic number, because the mean of its divisors is an integer number (40325040).

Almost surely, 2^5825059520 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 5825059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9032808960).

5825059520 is an abundant number, since it is smaller than the sum of its proper divisors (12240558400).

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

5825059520 is a wasteful number, since it uses less digits than its factorization.

5825059520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 41.

The square root of 5825059520 is about 76322.0775398574. The cubic root of 5825059520 is about 1799.2856754077.

The spelling of 5825059520 in words is "five billion, eight hundred twenty-five million, fifty-nine thousand, five hundred twenty".