827535797712 has 480 divisors, whose sum is σ = 2732555105280. Its totient is φ = 231360675840.

The previous prime is 827535797707. The next prime is 827535797713. The reversal of 827535797712 is 217797535728.

It is a happy number.

827535797712 is a `hidden beast` number, since 8 + 2 + 7 + 53 + 579 + 7 + 7 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 827535797712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827535797713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 579100614 + ... + 579102042.

It is an arithmetic number, because the mean of its divisors is an integer number (5692823136).

Almost surely, 2^827535797712 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 827535797712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366277552640).

827535797712 is an abundant number, since it is smaller than the sum of its proper divisors (1905019307568).

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

827535797712 is a wasteful number, since it uses less digits than its factorization.

827535797712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2082 counting only the distinct ones).

The product of its digits is 51861600, while the sum is 63.

The spelling of 827535797712 in words is "eight hundred twenty-seven billion, five hundred thirty-five million, seven hundred ninety-seven thousand, seven hundred twelve".