205968702720 has 288 divisors, whose sum is σ = 720626949504. Its totient is φ = 49722163200.

The previous prime is 205968702713. The next prime is 205968702749. The reversal of 205968702720 is 27207869502.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 205968702720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10169724 + ... + 10189956.

It is an arithmetic number, because the mean of its divisors is an integer number (2502176908).

Almost surely, 2^205968702720 is an apocalyptic number.

205968702720 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 205968702720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360313474752).

205968702720 is an abundant number, since it is smaller than the sum of its proper divisors (514658246784).

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

205968702720 is a wasteful number, since it uses less digits than its factorization.

205968702720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20509 (or 20495 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 205968702720 in words is "two hundred five billion, nine hundred sixty-eight million, seven hundred two thousand, seven hundred twenty".