5825820672 has 480 divisors, whose sum is σ = 20691871200. Its totient is φ = 1597833216.

The previous prime is 5825820659. The next prime is 5825820709. The reversal of 5825820672 is 2760285285.

5825820672 is a `hidden beast` number, since 5 + 8 + 2 + 582 + 0 + 67 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33675178 + ... + 33675350.

It is an arithmetic number, because the mean of its divisors is an integer number (43108065).

Almost surely, 2^5825820672 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 5825820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10345935600).

5825820672 is an abundant number, since it is smaller than the sum of its proper divisors (14866050528).

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

5825820672 is a wasteful number, since it uses less digits than its factorization.

5825820672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 5825820672 is about 76327.0638240461. The cubic root of 5825820672 is about 1799.3640420028.

The spelling of 5825820672 in words is "five billion, eight hundred twenty-five million, eight hundred twenty thousand, six hundred seventy-two".