1103118004800 has 840 divisors, whose sum is σ = 4906698344064. Its totient is φ = 237306101760.

The previous prime is 1103118004787. The next prime is 1103118004873. The reversal of 1103118004800 is 84008113011.

1103118004800 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 1 + 180 + 0 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15386637 + ... + 15458163.

Almost surely, 2^{1103118004800} is an apocalyptic number.

1103118004800 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 1103118004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453349172032).

1103118004800 is an abundant number, since it is smaller than the sum of its proper divisors (3803580339264).

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

1103118004800 is a wasteful number, since it uses less digits than its factorization.

1103118004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71585 (or 71561 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 1103118004800 in words is "one trillion, one hundred three billion, one hundred eighteen million, four thousand, eight hundred".