11162008645200 has 1440 divisors, whose sum is σ = 47432499840000. Its totient is φ = 2484459371520.

The previous prime is 11162008645187. The next prime is 11162008645223. The reversal of 11162008645200 is 254680026111.

It is a happy number.

11162008645200 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 2 + 0 + 0 + 8 + 645 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11355043909 + ... + 11355044891.

It is an arithmetic number, because the mean of its divisors is an integer number (32939236000).

Almost surely, 2^{11162008645200} is an apocalyptic number.

11162008645200 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 11162008645200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23716249920000).

11162008645200 is an abundant number, since it is smaller than the sum of its proper divisors (36270491194800).

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

11162008645200 is a wasteful number, since it uses less digits than its factorization.

11162008645200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11162008645200 in words is "eleven trillion, one hundred sixty-two billion, eight million, six hundred forty-five thousand, two hundred".