1100505550600 has 96 divisors (see below), whose sum is σ = 2601690121800. Its totient is φ = 432807782400.

The previous prime is 1100505550589. The next prime is 1100505550601. The reversal of 1100505550600 is 60555050011.

It can be written as a sum of positive squares in 12 ways, for example, as 105894271396 + 994611279204 = 325414^2 + 997302^2 .

It is a super-2 number, since 2×1100505550600² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1100505550601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31910166 + ... + 31944634.

Almost surely, 2^{1100505550600} is an apocalyptic number.

1100505550600 is a gapful number since it is divisible by the number (10) 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 1100505550600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300845060900).

1100505550600 is an abundant number, since it is smaller than the sum of its proper divisors (1501184571200).

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

1100505550600 is a wasteful number, since it uses less digits than its factorization.

1100505550600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37163 (or 37154 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 1100505550600 in words is "one trillion, one hundred billion, five hundred five million, five hundred fifty thousand, six hundred".