11125378208 has 192 divisors, whose sum is σ = 27636940800. Its totient is φ = 4303411200.

The previous prime is 11125378171. The next prime is 11125378217. The reversal of 11125378208 is 80287352111.

11125378208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 6547343 + ... + 6549041.

It is an arithmetic number, because the mean of its divisors is an integer number (143942400).

Almost surely, 2^11125378208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11125378208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13818470400).

11125378208 is an abundant number, since it is smaller than the sum of its proper divisors (16511562592).

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

11125378208 is a wasteful number, since it uses less digits than its factorization.

11125378208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 38.

The spelling of 11125378208 in words is "eleven billion, one hundred twenty-five million, three hundred seventy-eight thousand, two hundred eight".