205185203040 has 384 divisors, whose sum is σ = 667188264960. Its totient is φ = 52989769728.

The previous prime is 205185203011. The next prime is 205185203143. The reversal of 205185203040 is 40302581502.

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

It is a junction number, because it is equal to n+sod(n) for n = 205185202989 and 205185203007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 541385571 + ... + 541385949.

It is an arithmetic number, because the mean of its divisors is an integer number (1737469440).

Almost surely, 2^205185203040 is an apocalyptic number.

205185203040 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 205185203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333594132480).

205185203040 is an abundant number, since it is smaller than the sum of its proper divisors (462003061920).

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

205185203040 is a wasteful number, since it uses less digits than its factorization.

205185203040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 205185203040 its reverse (40302581502), we get a palindrome (245487784542).

The spelling of 205185203040 in words is "two hundred five billion, one hundred eighty-five million, two hundred three thousand, forty".