11104004880000 has 1600 divisors, whose sum is σ = 43899362238600. Its totient is φ = 2779951104000.

The previous prime is 11104004879953. The next prime is 11104004880019. The reversal of 11104004880000 is 8840040111.

It can be written as a sum of positive squares in 20 ways, for example, as 3512745589824 + 7591259290176 = 1874232^2 + 2755224^2 .

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 6953039202 + ... + 6953040798.

Almost surely, 2^{11104004880000} is an apocalyptic number.

11104004880000 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 11104004880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21949681119300).

11104004880000 is an abundant number, since it is smaller than the sum of its proper divisors (32795357358600).

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

11104004880000 is an equidigital number, since it uses as much as digits as its factorization.

11104004880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 11104004880000 in words is "eleven trillion, one hundred four billion, four million, eight hundred eighty thousand".