205145735760 has 240 divisors, whose sum is σ = 798459966720. Its totient is φ = 46229944320.

The previous prime is 205145735759. The next prime is 205145735761. The reversal of 205145735760 is 67537541502.

It is a happy number.

205145735760 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 4 + 5 + 73 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (205145735759) and next prime (205145735761).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205145735761) 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 47 ways as a sum of consecutive naturals, for example, 71196 + ... + 644484.

It is an arithmetic number, because the mean of its divisors is an integer number (3326916528).

Almost surely, 2^205145735760 is an apocalyptic number.

205145735760 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 205145735760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399229983360).

205145735760 is an abundant number, since it is smaller than the sum of its proper divisors (593314230960).

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

205145735760 is a wasteful number, since it uses less digits than its factorization.

205145735760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573386 (or 573377 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 205145735760 in words is "two hundred five billion, one hundred forty-five million, seven hundred thirty-five thousand, seven hundred sixty".