205159661766864 has 60 divisors (see below), whose sum is σ = 656185267400416. Its totient is φ = 58617046218816.

The previous prime is 205159661766821. The next prime is 205159661766887. The reversal of 205159661766864 is 468667166951502.

It is a happy number.

205159661766864 is a `hidden beast` number, since 2 + 0 + 515 + 96 + 6 + 17 + 6 + 6 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 205159661766792 and 205159661766801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101765704234 + ... + 101765706249.

Almost surely, 2^{205159661766864} is an apocalyptic number.

205159661766864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205159661766864 is an abundant number, since it is smaller than the sum of its proper divisors (451025605633552).

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

205159661766864 is a wasteful number, since it uses less digits than its factorization.

205159661766864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203531410504 (or 203531410495 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 205159661766864 in words is "two hundred five trillion, one hundred fifty-nine billion, six hundred sixty-one million, seven hundred sixty-six thousand, eight hundred sixty-four".