205740671367312 has 80 divisors (see below), whose sum is σ = 604285692873280. Its totient is φ = 66985334857728.

The previous prime is 205740671367281. The next prime is 205740671367359. The reversal of 205740671367312 is 213763176047502.

205740671367312 is a `hidden beast` number, since 2 + 0 + 574 + 0 + 6 + 7 + 1 + 3 + 67 + 3 + 1 + 2 = 666.

205740671367312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5537790193 + ... + 5537827344.

It is an arithmetic number, because the mean of its divisors is an integer number (7553571160916).

Almost surely, 2^{205740671367312} is an apocalyptic number.

It is an amenable number.

205740671367312 is an abundant number, since it is smaller than the sum of its proper divisors (398545021505968).

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

205740671367312 is a wasteful number, since it uses less digits than its factorization.

205740671367312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11075617597 (or 11075617585 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 205740671367312 in words is "two hundred five trillion, seven hundred forty billion, six hundred seventy-one million, three hundred sixty-seven thousand, three hundred twelve".