11455820200 has 72 divisors (see below), whose sum is σ = 29276309790. Its totient is φ = 4165744000.

The previous prime is 11455820161. The next prime is 11455820213. The reversal of 11455820200 is 202855411.

11455820200 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 8688849796 + 2766970404 = 93214^2 + 52602^2 .

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 17 ways as a sum of consecutive naturals, for example, 212491 + ... + 260890.

Almost surely, 2^11455820200 is an apocalyptic number.

11455820200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11455820200 is an abundant number, since it is smaller than the sum of its proper divisors (17820489590).

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

11455820200 is a wasteful number, since it uses less digits than its factorization.

11455820200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473419 (or 473399 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The spelling of 11455820200 in words is "eleven billion, four hundred fifty-five million, eight hundred twenty thousand, two hundred".