205011133153110 has 192 divisors, whose sum is σ = 540977505606720. Its totient is φ = 53859917905920.

The previous prime is 205011133153109. The next prime is 205011133153139. The reversal of 205011133153110 is 11351331110502.

205011133153110 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 1 + 11 + 331 + 5 + 311 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2499698464 + ... + 2499780476.

It is an arithmetic number, because the mean of its divisors is an integer number (2817591175035).

Almost surely, 2^{205011133153110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205011133153110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270488752803360).

205011133153110 is an abundant number, since it is smaller than the sum of its proper divisors (335966372453610).

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

205011133153110 is a wasteful number, since it uses less digits than its factorization.

205011133153110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83423 (or 83420 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

Adding to 205011133153110 its reverse (11351331110502), we get a palindrome (216362464263612).

The spelling of 205011133153110 in words is "two hundred five trillion, eleven billion, one hundred thirty-three million, one hundred fifty-three thousand, one hundred ten".