11811811354200 has 6144 divisors, whose sum is σ = 58316267520000. Its totient is φ = 2145927168000.

The previous prime is 11811811354163. The next prime is 11811811354253. The reversal of 11811811354200 is 245311811811.

It is a happy number.

11811811354200 is a `hidden beast` number, since 1 + 1 + 8 + 118 + 113 + 5 + 420 + 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 1535 ways as a sum of consecutive naturals, for example, 166363540165 + ... + 166363540235.

It is an arithmetic number, because the mean of its divisors is an integer number (9491580000).

Almost surely, 2^{11811811354200} is an apocalyptic number.

11811811354200 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 11811811354200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29158133760000).

11811811354200 is an abundant number, since it is smaller than the sum of its proper divisors (46504456165800).

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

11811811354200 is a wasteful number, since it uses less digits than its factorization.

11811811354200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 36.

The spelling of 11811811354200 in words is "eleven trillion, eight hundred eleven billion, eight hundred eleven million, three hundred fifty-four thousand, two hundred".