5825581488 has 240 divisors, whose sum is σ = 18280080000. Its totient is φ = 1721088000.

The previous prime is 5825581483. The next prime is 5825581523. The reversal of 5825581488 is 8841855285.

5825581488 is a `hidden beast` number, since 5 + 8 + 2 + 558 + 1 + 4 + 88 = 666.

Its product of digits (4096000) is a multiple of the sum of its prime factors (800).

It is not an unprimeable number, because it can be changed into a prime (5825581483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11674263 + ... + 11674761.

It is an arithmetic number, because the mean of its divisors is an integer number (76167000).

Almost surely, 2^5825581488 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 5825581488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9140040000).

5825581488 is an abundant number, since it is smaller than the sum of its proper divisors (12454498512).

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

5825581488 is a wasteful number, since it uses less digits than its factorization.

5825581488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 791 counting only the distinct ones).

The product of its digits is 4096000, while the sum is 54.

The square root of 5825581488 is about 76325.4969718508. The cubic root of 5825581488 is about 1799.3394168611.

The spelling of 5825581488 in words is "five billion, eight hundred twenty-five million, five hundred eighty-one thousand, four hundred eighty-eight".