827775096057 has 128 divisors (see below), whose sum is σ = 1527602872320. Its totient is φ = 431366135040.

The previous prime is 827775096013. The next prime is 827775096059. The reversal of 827775096057 is 750690577728.

827775096057 is a `hidden beast` number, since 8 + 2 + 7 + 77 + 509 + 6 + 0 + 57 = 666.

It is not a de Polignac number, because 827775096057 - 2⁸ = 827775095801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 827775095985 and 827775096003.

It is not an unprimeable number, because it can be changed into a prime (827775096059) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100686207 + ... + 100694427.

It is an arithmetic number, because the mean of its divisors is an integer number (11934397440).

Almost surely, 2^827775096057 is an apocalyptic number.

It is an amenable number.

827775096057 is a deficient number, since it is larger than the sum of its proper divisors (699827776263).

827775096057 is a wasteful number, since it uses less digits than its factorization.

827775096057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8740 (or 8734 counting only the distinct ones).

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

The spelling of 827775096057 in words is "eight hundred twenty-seven billion, seven hundred seventy-five million, ninety-six thousand, fifty-seven".