827824493056 has 120 divisors (see below), whose sum is σ = 1821089849040. Its totient is φ = 375658567680.

The previous prime is 827824493053. The next prime is 827824493063. The reversal of 827824493056 is 650394428728.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (827824493053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38337495 + ... + 38359081.

It is an arithmetic number, because the mean of its divisors is an integer number (15175748742).

Almost surely, 2^827824493056 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 827824493056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910544924520).

827824493056 is an abundant number, since it is smaller than the sum of its proper divisors (993265355984).

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

827824493056 is a wasteful number, since it uses less digits than its factorization.

827824493056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22246 (or 22219 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 58.

The spelling of 827824493056 in words is "eight hundred twenty-seven billion, eight hundred twenty-four million, four hundred ninety-three thousand, fifty-six".