11252189188800 has 1008 divisors, whose sum is σ = 47668289923072. Its totient is φ = 2463237734400.

The previous prime is 11252189188787. The next prime is 11252189188853. The reversal of 11252189188800 is 888198125211.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×11252189188800² (a number of 27 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 303087039 + ... + 303124161.

Almost surely, 2^{11252189188800} is an apocalyptic number.

11252189188800 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 11252189188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23834144961536).

11252189188800 is an abundant number, since it is smaller than the sum of its proper divisors (36416100734272).

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

11252189188800 is a wasteful number, since it uses less digits than its factorization.

11252189188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37286 (or 37268 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 54.

The spelling of 11252189188800 in words is "eleven trillion, two hundred fifty-two billion, one hundred eighty-nine million, one hundred eighty-eight thousand, eight hundred".