205301400000000 has 720 divisors, whose sum is σ = 694009238417088. Its totient is φ = 53919360000000.

The previous prime is 205301399999989. The next prime is 205301400000023. The reversal of 205301400000000 is 4103502.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40199997447 + ... + 40200002553.

Almost surely, 2^{205301400000000} is an apocalyptic number.

205301400000000 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 205301400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347004619208544).

205301400000000 is an abundant number, since it is smaller than the sum of its proper divisors (488707838417088).

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

205301400000000 is an frugal number, since it uses more digits than its factorization.

205301400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5235 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 205301400000000 its reverse (4103502), we get a palindrome (205301404103502).

The spelling of 205301400000000 in words is "two hundred five trillion, three hundred one billion, four hundred million", and thus it is an aban number.