827188747000 has 512 divisors, whose sum is σ = 2474634240000. Its totient is φ = 256556160000.

The previous prime is 827188746961. The next prime is 827188747009. The reversal of 827188747000 is 747881728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827188747009) 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 127 ways as a sum of consecutive naturals, for example, 1022482596 + ... + 1022483404.

It is an arithmetic number, because the mean of its divisors is an integer number (4833270000).

Almost surely, 2^827188747000 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 827188747000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237317120000).

827188747000 is an abundant number, since it is smaller than the sum of its proper divisors (1647445493000).

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

827188747000 is a wasteful number, since it uses less digits than its factorization.

827188747000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 1404928, while the sum is 52.

The spelling of 827188747000 in words is "eight hundred twenty-seven billion, one hundred eighty-eight million, seven hundred forty-seven thousand".