205485901056 has 648 divisors, whose sum is σ = 666208932480. Its totient is φ = 63046066176.

The previous prime is 205485901051. The next prime is 205485901073. The reversal of 205485901056 is 650109584502.

205485901056 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 8 + 590 + 1 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205485901051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1499897020 + ... + 1499897156.

Almost surely, 2^205485901056 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 205485901056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333104466240).

205485901056 is an abundant number, since it is smaller than the sum of its proper divisors (460723031424).

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

205485901056 is an frugal number, since it uses more digits than its factorization.

205485901056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 205485901056 in words is "two hundred five billion, four hundred eighty-five million, nine hundred one thousand, fifty-six".