205016700000 has 576 divisors, whose sum is σ = 773905466880. Its totient is φ = 46548480000.

The previous prime is 205016699981. The next prime is 205016700001. The reversal of 205016700000 is 7610502.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 205016700000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205016700001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 489299791 + ... + 489300209.

It is an arithmetic number, because the mean of its divisors is an integer number (1343585880).

Almost surely, 2^205016700000 is an apocalyptic number.

205016700000 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 205016700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386952733440).

205016700000 is an abundant number, since it is smaller than the sum of its proper divisors (568888766880).

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

205016700000 is an equidigital number, since it uses as much as digits as its factorization.

205016700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The spelling of 205016700000 in words is "two hundred five billion, sixteen million, seven hundred thousand".