1105881004800 has 2592 divisors, whose sum is σ = 4942075686912. Its totient is φ = 232243200000.

The previous prime is 1105881004793. The next prime is 1105881004801. The reversal of 1105881004800 is 84001885011.

It is a happy number.

1105881004800 is a `hidden beast` number, since 110 + 58 + 8 + 10 + 0 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1105881004801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15575788765 + ... + 15575788835.

Almost surely, 2^{1105881004800} is an apocalyptic number.

1105881004800 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 1105881004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471037843456).

1105881004800 is an abundant number, since it is smaller than the sum of its proper divisors (3836194682112).

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

1105881004800 is a wasteful number, since it uses less digits than its factorization.

1105881004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

Adding to 1105881004800 its reverse (84001885011), we get a palindrome (1189882889811).

The spelling of 1105881004800 in words is "one trillion, one hundred five billion, eight hundred eighty-one million, four thousand, eight hundred".