11257086800 has 30 divisors (see below), whose sum is σ = 27045151998. Its totient is φ = 4502834560.

The previous prime is 11257086683. The next prime is 11257086821. The reversal of 11257086800 is 868075211.

11257086800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3372357184 + 7884729616 = 58072^2 + 88796^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 14070959 + ... + 14071758.

Almost surely, 2^11257086800 is an apocalyptic number.

11257086800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11257086800 is an abundant number, since it is smaller than the sum of its proper divisors (15788065198).

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

11257086800 is a wasteful number, since it uses less digits than its factorization.

11257086800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28142735 (or 28142724 counting only the distinct ones).

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

The spelling of 11257086800 in words is "eleven billion, two hundred fifty-seven million, eighty-six thousand, eight hundred".