205100856320 has 88 divisors (see below), whose sum is σ = 500068065768. Its totient is φ = 80695296000.

The previous prime is 205100856307. The next prime is 205100856341. The reversal of 205100856320 is 23658001502.

It can be written as a sum of positive squares in 4 ways, for example, as 2845582336 + 202255273984 = 53344^2 + 449728^2 .

It is a super-2 number, since 2×205100856320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16031 + ... + 640670.

Almost surely, 2^205100856320 is an apocalyptic number.

205100856320 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 205100856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250034032884).

205100856320 is an abundant number, since it is smaller than the sum of its proper divisors (294967209448).

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

205100856320 is an equidigital number, since it uses as much as digits as its factorization.

205100856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656787 (or 656769 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 205100856320 its reverse (23658001502), we get a palindrome (228758857822).

The spelling of 205100856320 in words is "two hundred five billion, one hundred million, eight hundred fifty-six thousand, three hundred twenty".