11125195200 has 378 divisors, whose sum is σ = 46000254456. Its totient is φ = 2542740480.

The previous prime is 11125195127. The next prime is 11125195223. The reversal of 11125195200 is 259152111.

11125195200 is a `hidden beast` number, since 1 + 1 + 125 + 19 + 520 + 0 = 666.

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 697717 + ... + 713483.

Almost surely, 2^11125195200 is an apocalyptic number.

11125195200 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 11125195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23000127228).

11125195200 is an abundant number, since it is smaller than the sum of its proper divisors (34875059256).

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

11125195200 is a wasteful number, since it uses less digits than its factorization.

11125195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15809 (or 15784 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 11125195200 in words is "eleven billion, one hundred twenty-five million, one hundred ninety-five thousand, two hundred".