11105610500550 has 192 divisors, whose sum is σ = 28932142152960. Its totient is φ = 2816229588480.

The previous prime is 11105610500539. The next prime is 11105610500617. The reversal of 11105610500550 is 5500501650111.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 56550829 + ... + 56746871.

It is an arithmetic number, because the mean of its divisors is an integer number (150688240380).

Almost surely, 2^{11105610500550} is an apocalyptic number.

11105610500550 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 11105610500550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14466071076480).

11105610500550 is an abundant number, since it is smaller than the sum of its proper divisors (17826531652410).

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

11105610500550 is a wasteful number, since it uses less digits than its factorization.

11105610500550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196327 (or 196322 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 30.

The spelling of 11105610500550 in words is "eleven trillion, one hundred five billion, six hundred ten million, five hundred thousand, five hundred fifty".