204943311300 has 576 divisors, whose sum is σ = 777370245120. Its totient is φ = 40453447680.

The previous prime is 204943311289. The next prime is 204943311301. The reversal of 204943311300 is 3113349402.

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

It is not an unprimeable number, because it can be changed into a prime (204943311301) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83072667 + ... + 83075133.

It is an arithmetic number, because the mean of its divisors is an integer number (1349601120).

Almost surely, 2^204943311300 is an apocalyptic number.

204943311300 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 204943311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388685122560).

204943311300 is an abundant number, since it is smaller than the sum of its proper divisors (572426933820).

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

204943311300 is a wasteful number, since it uses less digits than its factorization.

204943311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 204943311300 in words is "two hundred four billion, nine hundred forty-three million, three hundred eleven thousand, three hundred".