205390127456 has 48 divisors (see below), whose sum is σ = 413954380224. Its totient is φ = 100261037184.

The previous prime is 205390127447. The next prime is 205390127461. The reversal of 205390127456 is 654721093502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3086471 + ... + 3152313.

It is an arithmetic number, because the mean of its divisors is an integer number (8624049588).

Almost surely, 2^205390127456 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 205390127456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206977190112).

205390127456 is an abundant number, since it is smaller than the sum of its proper divisors (208564252768).

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

205390127456 is a wasteful number, since it uses less digits than its factorization.

205390127456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68163 (or 68155 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The spelling of 205390127456 in words is "two hundred five billion, three hundred ninety million, one hundred twenty-seven thousand, four hundred fifty-six".