825055560 has 192 divisors, whose sum is σ = 3244924800. Its totient is φ = 177481728.

The previous prime is 825055541. The next prime is 825055591. The reversal of 825055560 is 65550528.

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 47 ways as a sum of consecutive naturals, for example, 33211 + ... + 52469.

It is an arithmetic number, because the mean of its divisors is an integer number (16900650).

Almost surely, 2^825055560 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 825055560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622462400).

825055560 is an abundant number, since it is smaller than the sum of its proper divisors (2419869240).

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

825055560 is a wasteful number, since it uses less digits than its factorization.

825055560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19300 (or 19293 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 825055560 is about 28723.7803918635. The cubic root of 825055560 is about 937.9097813917.

The spelling of 825055560 in words is "eight hundred twenty-five million, fifty-five thousand, five hundred sixty".