205941005961600 has 1536 divisors, whose sum is σ = 842433440808960. Its totient is φ = 43058221056000.

The previous prime is 205941005961599. The next prime is 205941005961631. The reversal of 205941005961600 is 6169500149502.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 205941005961600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61603649529 + ... + 61603652871.

It is an arithmetic number, because the mean of its divisors is an integer number (548459271360).

Almost surely, 2^{205941005961600} is an apocalyptic number.

205941005961600 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 205941005961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421216720404480).

205941005961600 is an abundant number, since it is smaller than the sum of its proper divisors (636492434847360).

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

205941005961600 is a wasteful number, since it uses less digits than its factorization.

205941005961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4008 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 205941005961600 in words is "two hundred five trillion, nine hundred forty-one billion, five million, nine hundred sixty-one thousand, six hundred".