11205434405550 has 192 divisors, whose sum is σ = 34649059603968. Its totient is φ = 2328238080000.

The previous prime is 11205434405533. The next prime is 11205434405603. The reversal of 11205434405550 is 5550443450211.

It is a junction number, because it is equal to n+sod(n) for n = 11205434405499 and 11205434405508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232835490 + ... + 232883610.

It is an arithmetic number, because the mean of its divisors is an integer number (180463852104).

Almost surely, 2^{11205434405550} is an apocalyptic number.

11205434405550 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 11205434405550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17324529801984).

11205434405550 is an abundant number, since it is smaller than the sum of its proper divisors (23443625198418).

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

11205434405550 is a wasteful number, since it uses less digits than its factorization.

11205434405550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68315 (or 68310 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 39.

Adding to 11205434405550 its reverse (5550443450211), we get a palindrome (16755877855761).

The spelling of 11205434405550 in words is "eleven trillion, two hundred five billion, four hundred thirty-four million, four hundred five thousand, five hundred fifty".