205264284160 has 160 divisors (see below), whose sum is σ = 530496046080. Its totient is φ = 75720572928.

The previous prime is 205264284149. The next prime is 205264284161. The reversal of 205264284160 is 61482462502.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (205264284161) 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 15 ways as a sum of consecutive naturals, for example, 49352161 + ... + 49356319.

It is an arithmetic number, because the mean of its divisors is an integer number (3315600288).

Almost surely, 2^205264284160 is an apocalyptic number.

205264284160 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 205264284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265248023040).

205264284160 is an abundant number, since it is smaller than the sum of its proper divisors (325231761920).

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

205264284160 is a wasteful number, since it uses less digits than its factorization.

205264284160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5678 (or 5662 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 205264284160 in words is "two hundred five billion, two hundred sixty-four million, two hundred eighty-four thousand, one hundred sixty".