205512034350 has 240 divisors, whose sum is σ = 598675432320. Its totient is φ = 46650744000.

The previous prime is 205512034313. The next prime is 205512034361. The reversal of 205512034350 is 53430215502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 54380761 + ... + 54384539.

It is an arithmetic number, because the mean of its divisors is an integer number (2494480968).

Almost surely, 2^205512034350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205512034350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299337716160).

205512034350 is an abundant number, since it is smaller than the sum of its proper divisors (393163397970).

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

205512034350 is a wasteful number, since it uses less digits than its factorization.

205512034350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 205512034350 its reverse (53430215502), we get a palindrome (258942249852).

The spelling of 205512034350 in words is "two hundred five billion, five hundred twelve million, thirty-four thousand, three hundred fifty".