205010420160 has 1792 divisors, whose sum is σ = 902150258688. Its totient is φ = 38220595200.

The previous prime is 205010420159. The next prime is 205010420243. The reversal of 205010420160 is 61024010502.

205010420160 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 (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2808361884 + ... + 2808361956.

It is an arithmetic number, because the mean of its divisors is an integer number (503432064).

Almost surely, 2^205010420160 is an apocalyptic number.

205010420160 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 205010420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451075129344).

205010420160 is an abundant number, since it is smaller than the sum of its proper divisors (697139838528).

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

205010420160 is a wasteful number, since it uses less digits than its factorization.

205010420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 205010420160 its reverse (61024010502), we get a palindrome (266034430662).

The spelling of 205010420160 in words is "two hundred five billion, ten million, four hundred twenty thousand, one hundred sixty".