205520542310032 has 80 divisors (see below), whose sum is σ = 422859514366080. Its totient is φ = 96431150544896.

The previous prime is 205520542310009. The next prime is 205520542310071. The reversal of 205520542310032 is 230013245025502.

It is a super-2 number, since 2×205520542310032² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 205520542310032.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640703478 + ... + 641024170.

It is an arithmetic number, because the mean of its divisors is an integer number (5285743929576).

Almost surely, 2^{205520542310032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205520542310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211429757183040).

205520542310032 is an abundant number, since it is smaller than the sum of its proper divisors (217338972056048).

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

205520542310032 is a wasteful number, since it uses less digits than its factorization.

205520542310032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327640 (or 327634 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 205520542310032 its reverse (230013245025502), we get a palindrome (435533787335534).

The spelling of 205520542310032 in words is "two hundred five trillion, five hundred twenty billion, five hundred forty-two million, three hundred ten thousand, thirty-two".