827081869140 has 96 divisors (see below), whose sum is σ = 2573868165120. Its totient is φ = 220493059200.

The previous prime is 827081869123. The next prime is 827081869153. The reversal of 827081869140 is 41968180728.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1719885 + ... + 2147595.

It is an arithmetic number, because the mean of its divisors is an integer number (26811126720).

Almost surely, 2^827081869140 is an apocalyptic number.

It is an amenable number.

827081869140 is an abundant number, since it is smaller than the sum of its proper divisors (1746786295980).

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

827081869140 is a wasteful number, since it uses less digits than its factorization.

827081869140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431310 (or 431302 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 827081869140 in words is "eight hundred twenty-seven billion, eighty-one million, eight hundred sixty-nine thousand, one hundred forty".