205028046160 has 240 divisors, whose sum is σ = 564666930432. Its totient is φ = 69017088000.

The previous prime is 205028046133. The next prime is 205028046193. The reversal of 205028046160 is 61640820502.

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 47 ways as a sum of consecutive naturals, for example, 73196760 + ... + 73199560.

Almost surely, 2^205028046160 is an apocalyptic number.

205028046160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205028046160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282333465216).

205028046160 is an abundant number, since it is smaller than the sum of its proper divisors (359638884272).

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

205028046160 is a wasteful number, since it uses less digits than its factorization.

205028046160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 205028046160 its reverse (61640820502), we get a palindrome (266668866662).

The spelling of 205028046160 in words is "two hundred five billion, twenty-eight million, forty-six thousand, one hundred sixty".