205342400000 has 120 divisors (see below), whose sum is σ = 512825848920. Its totient is φ = 82136320000.

The previous prime is 205342399981. The next prime is 205342400063. The reversal of 205342400000 is 4243502.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1535831 + ... + 1664169.

It is an arithmetic number, because the mean of its divisors is an integer number (4273548741).

Almost surely, 2^205342400000 is an apocalyptic number.

205342400000 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 205342400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256412924460).

205342400000 is an abundant number, since it is smaller than the sum of its proper divisors (307483448920).

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

205342400000 is an frugal number, since it uses more digits than its factorization.

205342400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128382 (or 128346 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 205342400000 its reverse (4243502), we get a palindrome (205346643502).

The spelling of 205342400000 in words is "two hundred five billion, three hundred forty-two million, four hundred thousand".