427812821677305 has 96 divisors (see below), whose sum is σ = 788949835914240. Its totient is φ = 213710018457600.

The previous prime is 427812821677301. The next prime is 427812821677331. The reversal of 427812821677305 is 503776128218724.

427812821677305 is a `hidden beast` number, since 4 + 27 + 8 + 1 + 28 + 216 + 77 + 305 = 666.

It is not a de Polignac number, because 427812821677305 - 2² = 427812821677301 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (427812821677301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 506074230 + ... + 506918880.

It is an arithmetic number, because the mean of its divisors is an integer number (8218227457440).

Almost surely, 2^{427812821677305} is an apocalyptic number.

427812821677305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

427812821677305 is a deficient number, since it is larger than the sum of its proper divisors (361137014236935).

427812821677305 is a wasteful number, since it uses less digits than its factorization.

427812821677305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847871 (or 847868 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 427812821677305 in words is "four hundred twenty-seven trillion, eight hundred twelve billion, eight hundred twenty-one million, six hundred seventy-seven thousand, three hundred five".