10205111042550 has 192 divisors, whose sum is σ = 28386433152000. Its totient is φ = 2695665329280.

The previous prime is 10205111042543. The next prime is 10205111042551. The reversal of 10205111042550 is 5524011150201.

It is a happy number.

10205111042550 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 5 + 1 + 1 + 104 + 2 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205111042551) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 741481969 + ... + 741495731.

It is an arithmetic number, because the mean of its divisors is an integer number (147846006000).

Almost surely, 2^{10205111042550} is an apocalyptic number.

10205111042550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10205111042550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14193216576000).

10205111042550 is an abundant number, since it is smaller than the sum of its proper divisors (18181322109450).

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

10205111042550 is a wasteful number, since it uses less digits than its factorization.

10205111042550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18932 (or 18921 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 10205111042550 its reverse (5524011150201), we get a palindrome (15729122192751).

The spelling of 10205111042550 in words is "ten trillion, two hundred five billion, one hundred eleven million, forty-two thousand, five hundred fifty".