5825045520 has 480 divisors, whose sum is σ = 23135424000. Its totient is φ = 1312754688.

The previous prime is 5825045491. The next prime is 5825045537. The reversal of 5825045520 is 255405285.

It is a happy number.

5825045520 is a `hidden beast` number, since 5 + 82 + 50 + 4 + 5 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25436766 + ... + 25436994.

It is an arithmetic number, because the mean of its divisors is an integer number (48198800).

Almost surely, 2^5825045520 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 5825045520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11567712000).

5825045520 is an abundant number, since it is smaller than the sum of its proper divisors (17310378480).

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

5825045520 is a wasteful number, since it uses less digits than its factorization.

5825045520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The square root of 5825045520 is about 76321.9858232213. The cubic root of 5825045520 is about 1799.2842339334.

The spelling of 5825045520 in words is "five billion, eight hundred twenty-five million, forty-five thousand, five hundred twenty".