205435970880 has 448 divisors, whose sum is σ = 787205253120. Its totient is φ = 44341862400.

The previous prime is 205435970849. The next prime is 205435970881. The reversal of 205435970880 is 88079534502.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205435970881) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 42259650 + ... + 42264510.

Almost surely, 2^205435970880 is an apocalyptic number.

205435970880 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 205435970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393602626560).

205435970880 is an abundant number, since it is smaller than the sum of its proper divisors (581769282240).

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

205435970880 is a wasteful number, since it uses less digits than its factorization.

205435970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5238 (or 5228 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 205435970880 in words is "two hundred five billion, four hundred thirty-five million, nine hundred seventy thousand, eight hundred eighty".