205220100044000 has 192 divisors, whose sum is σ = 505489169203200. Its totient is φ = 81882432832000.

The previous prime is 205220100043879. The next prime is 205220100044041. The reversal of 205220100044000 is 440001022502.

It is a happy number.

205220100044000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 16445229761 + ... + 16445242239.

It is an arithmetic number, because the mean of its divisors is an integer number (2632756089600).

Almost surely, 2^{205220100044000} is an apocalyptic number.

205220100044000 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 205220100044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252744584601600).

205220100044000 is an abundant number, since it is smaller than the sum of its proper divisors (300269069159200).

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

205220100044000 is a wasteful number, since it uses less digits than its factorization.

205220100044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22474 (or 22456 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 205220100044000 its reverse (440001022502), we get a palindrome (205660101066502).

The spelling of 205220100044000 in words is "two hundred five trillion, two hundred twenty billion, one hundred million, forty-four thousand".