827447258880 has 432 divisors, whose sum is σ = 3125960903520. Its totient is φ = 200412364800.

The previous prime is 827447258879. The next prime is 827447258881. The reversal of 827447258880 is 88852744728.

827447258880 is a `hidden beast` number, since 8 + 2 + 7 + 4 + 47 + 2 + 588 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (827447258879) and next prime (827447258881).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827447258881) 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, 187670116 + ... + 187674524.

It is an arithmetic number, because the mean of its divisors is an integer number (7236020610).

Almost surely, 2^827447258880 is an apocalyptic number.

827447258880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827447258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562980451760).

827447258880 is an abundant number, since it is smaller than the sum of its proper divisors (2298513644640).

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

827447258880 is a wasteful number, since it uses less digits than its factorization.

827447258880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5928 (or 5911 counting only the distinct ones).

The product of its (nonzero) digits is 64225280, while the sum is 63.

The spelling of 827447258880 in words is "eight hundred twenty-seven billion, four hundred forty-seven million, two hundred fifty-eight thousand, eight hundred eighty".