827563163904 has 216 divisors, whose sum is σ = 2620000262880. Its totient is φ = 259627327488.

The previous prime is 827563163891. The next prime is 827563163909. The reversal of 827563163904 is 409361365728.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (827563163909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666267 + ... + 1448805.

It is a 1-persistent number, because it is pandigital, but 2⋅827563163904 = 1655126327808 is not.

Almost surely, 2^827563163904 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 827563163904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310000131440).

827563163904 is an abundant number, since it is smaller than the sum of its proper divisors (1792437098976).

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

827563163904 is an equidigital number, since it uses as much as digits as its factorization.

827563163904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782587 (or 782561 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 827563163904 in words is "eight hundred twenty-seven billion, five hundred sixty-three million, one hundred sixty-three thousand, nine hundred four".