205272771000 has 128 divisors (see below), whose sum is σ = 698673980160. Its totient is φ = 49763088000.

The previous prime is 205272770933. The next prime is 205272771013. The reversal of 205272771000 is 177272502.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3077194 + ... + 3143193.

It is an arithmetic number, because the mean of its divisors is an integer number (5458390470).

Almost surely, 2^205272771000 is an apocalyptic number.

205272771000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205272771000 is an abundant number, since it is smaller than the sum of its proper divisors (493401209160).

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

205272771000 is a wasteful number, since it uses less digits than its factorization.

205272771000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6220422 (or 6220408 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 33.

The spelling of 205272771000 in words is "two hundred five billion, two hundred seventy-two million, seven hundred seventy-one thousand".