205221345026880 has 896 divisors, whose sum is σ = 805949368519680. Its totient is φ = 43083316592640.

The previous prime is 205221345026861. The next prime is 205221345026881. The reversal of 205221345026880 is 88620543122502.

205221345026880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205221345026881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57955757910 + ... + 57955761450.

It is an arithmetic number, because the mean of its divisors is an integer number (899497063080).

Almost surely, 2^{205221345026880} is an apocalyptic number.

205221345026880 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 205221345026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402974684259840).

205221345026880 is an abundant number, since it is smaller than the sum of its proper divisors (600728023492800).

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

205221345026880 is a wasteful number, since it uses less digits than its factorization.

205221345026880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6707 (or 6697 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 205221345026880 in words is "two hundred five trillion, two hundred twenty-one billion, three hundred forty-five million, twenty-six thousand, eight hundred eighty".