205550013420 has 384 divisors, whose sum is σ = 693139265280. Its totient is φ = 50376867840.

The previous prime is 205550013407. The next prime is 205550013439. The reversal of 205550013420 is 24310055502.

It is a happy number.

205550013420 is a `hidden beast` number, since 2 + 0 + 5 + 5 + 500 + 134 + 20 = 666.

205550013420 is digitally balanced in base 3, 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117255264 + ... + 117257016.

It is an arithmetic number, because the mean of its divisors is an integer number (1805050170).

Almost surely, 2^205550013420 is an apocalyptic number.

205550013420 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 205550013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346569632640).

205550013420 is an abundant number, since it is smaller than the sum of its proper divisors (487589251860).

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

205550013420 is a wasteful number, since it uses less digits than its factorization.

205550013420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 205550013420 its reverse (24310055502), we get a palindrome (229860068922).

The spelling of 205550013420 in words is "two hundred five billion, five hundred fifty million, thirteen thousand, four hundred twenty".