205434621120 has 224 divisors, whose sum is σ = 688477363200. Its totient is φ = 51756171264.

The previous prime is 205434621113. The next prime is 205434621121. The reversal of 205434621120 is 21126434502.

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 (205434621121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6678736 + ... + 6709424.

Almost surely, 2^205434621120 is an apocalyptic number.

205434621120 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 205434621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344238681600).

205434621120 is an abundant number, since it is smaller than the sum of its proper divisors (483042742080).

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

205434621120 is a wasteful number, since it uses less digits than its factorization.

205434621120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31095 (or 31085 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 205434621120 in words is "two hundred five billion, four hundred thirty-four million, six hundred twenty-one thousand, one hundred twenty".