11005505600 has 84 divisors (see below), whose sum is σ = 27159394500. Its totient is φ = 4389365760.

The previous prime is 11005505573. The next prime is 11005505617. The reversal of 11005505600 is 650550011.

It can be written as a sum of positive squares in 6 ways, for example, as 2334784 + 11003170816 = 1528^2 + 104896^2 .

It is a super-2 number, since 2×11005505600² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 548546 + ... + 568254.

It is an arithmetic number, because the mean of its divisors is an integer number (323326125).

Almost surely, 2^11005505600 is an apocalyptic number.

11005505600 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 11005505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13579697250).

11005505600 is an abundant number, since it is smaller than the sum of its proper divisors (16153888900).

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

11005505600 is a wasteful number, since it uses less digits than its factorization.

11005505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20080 (or 20065 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 11005505600 in words is "eleven billion, five million, five hundred five thousand, six hundred".