11128104000 has 560 divisors, whose sum is σ = 44368340016. Its totient is φ = 2737152000.

The previous prime is 11128103983. The next prime is 11128104017. The reversal of 11128104000 is 40182111.

It is an interprime number because it is at equal distance from previous prime (11128103983) and next prime (11128104017).

It can be written as a sum of positive squares in 8 ways, for example, as 3002163264 + 8125940736 = 54792^2 + 90144^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8423340 + ... + 8424660.

Almost surely, 2^11128104000 is an apocalyptic number.

11128104000 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 11128104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22184170008).

11128104000 is an abundant number, since it is smaller than the sum of its proper divisors (33240236016).

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

11128104000 is a wasteful number, since it uses less digits than its factorization.

11128104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11128104000 its reverse (40182111), we get a palindrome (11168286111).

The spelling of 11128104000 in words is "eleven billion, one hundred twenty-eight million, one hundred four thousand".