827943460857 has 12 divisors (see below), whose sum is σ = 1266266469780. Its totient is φ = 519493936128.

The previous prime is 827943460807. The next prime is 827943460931. The reversal of 827943460857 is 758064349728.

827943460857 is a `hidden beast` number, since 8 + 2 + 7 + 94 + 3 + 460 + 85 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 443464096761 + 384479364096 = 665931^2 + 620064^2 .

It is not a de Polignac number, because 827943460857 - 2²⁶ = 827876351993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 827943460794 and 827943460803.

It is not an unprimeable number, because it can be changed into a prime (827943460807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2705697432 + ... + 2705697737.

It is an arithmetic number, because the mean of its divisors is an integer number (105522205815).

Almost surely, 2^827943460857 is an apocalyptic number.

It is an amenable number.

827943460857 is a deficient number, since it is larger than the sum of its proper divisors (438323008923).

827943460857 is a wasteful number, since it uses less digits than its factorization.

827943460857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5411395192 (or 5411395189 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 827943460857 in words is "eight hundred twenty-seven billion, nine hundred forty-three million, four hundred sixty thousand, eight hundred fifty-seven".