205461271296 has 216 divisors, whose sum is σ = 639472186080. Its totient is φ = 63249973248.

The previous prime is 205461271277. The next prime is 205461271369. The reversal of 205461271296 is 692172164502.

205461271296 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 612 + 7 + 1 + 29 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1469920 + ... + 1603616.

It is an arithmetic number, because the mean of its divisors is an integer number (2960519380).

Almost surely, 2^205461271296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205461271296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319736093040).

205461271296 is an abundant number, since it is smaller than the sum of its proper divisors (434010914784).

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

205461271296 is a wasteful number, since it uses less digits than its factorization.

205461271296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133771 (or 133754 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 205461271296 in words is "two hundred five billion, four hundred sixty-one million, two hundred seventy-one thousand, two hundred ninety-six".