827906098736223 has 48 divisors (see below), whose sum is σ = 1293817459910976. Its totient is φ = 507123504276480.

The previous prime is 827906098736207. The next prime is 827906098736237. The reversal of 827906098736223 is 322637890609728.

It is a happy number.

827906098736223 is a `hidden beast` number, since 8 + 2 + 7 + 9 + 0 + 609 + 8 + 7 + 3 + 6 + 2 + 2 + 3 = 666.

It is not a de Polignac number, because 827906098736223 - 2⁴ = 827906098736207 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827906098731223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51812761 + ... + 65881517.

It is an arithmetic number, because the mean of its divisors is an integer number (26954530414812).

Almost surely, 2^{827906098736223} is an apocalyptic number.

827906098736223 is a deficient number, since it is larger than the sum of its proper divisors (465911361174753).

827906098736223 is a wasteful number, since it uses less digits than its factorization.

827906098736223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14071104 (or 14071101 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 827906098736223 in words is "eight hundred twenty-seven trillion, nine hundred six billion, ninety-eight million, seven hundred thirty-six thousand, two hundred twenty-three".