205261225416 has 192 divisors, whose sum is σ = 619711200000. Its totient is φ = 62921214720.

The previous prime is 205261225409. The next prime is 205261225417. The reversal of 205261225416 is 614522162502.

205261225416 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 612 + 25 + 4 + 16 = 666.

205261225416 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 (36).

It is not an unprimeable number, because it can be changed into a prime (205261225417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9882210 + ... + 9902958.

It is an arithmetic number, because the mean of its divisors is an integer number (3227662500).

Almost surely, 2^205261225416 is an apocalyptic number.

205261225416 is a gapful number since it is divisible by the number (26) 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 205261225416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309855600000).

205261225416 is an abundant number, since it is smaller than the sum of its proper divisors (414449974584).

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

205261225416 is a wasteful number, since it uses less digits than its factorization.

205261225416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21061 (or 21038 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 205261225416 its reverse (614522162502), we get a palindrome (819783387918).

The spelling of 205261225416 in words is "two hundred five billion, two hundred sixty-one million, two hundred twenty-five thousand, four hundred sixteen".