1100268000 has 288 divisors, whose sum is σ = 4207012992. Its totient is φ = 270720000.

The previous prime is 1100267933. The next prime is 1100268019. The reversal of 1100268000 is 8620011.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466825 + ... + 469175.

It is an arithmetic number, because the mean of its divisors is an integer number (14607684).

Almost surely, 2^1100268000 is an apocalyptic number.

1100268000 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 1100268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103506496).

1100268000 is an abundant number, since it is smaller than the sum of its proper divisors (3106744992).

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

1100268000 is a wasteful number, since it uses less digits than its factorization.

1100268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1100268000 is about 33170.2879095132. The cubic root of 1100268000 is about 1032.3639423068.

Adding to 1100268000 its reverse (8620011), we get a palindrome (1108888011).

The spelling of 1100268000 in words is "one billion, one hundred million, two hundred sixty-eight thousand".