11934455500800 has 2496 divisors, whose sum is σ = 53089883934720. Its totient is φ = 2601389260800.

The previous prime is 11934455500789. The next prime is 11934455500811. The reversal of 11934455500800 is 800555443911.

It is a happy number.

11934455500800 is a `hidden beast` number, since 1 + 1 + 93 + 4 + 4 + 5 + 550 + 0 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11934455500789) and next prime (11934455500811).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36055756635 + ... + 36055756965.

Almost surely, 2^{11934455500800} is an apocalyptic number.

11934455500800 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 11934455500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26544941967360).

11934455500800 is an abundant number, since it is smaller than the sum of its proper divisors (41155428433920).

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

11934455500800 is an frugal number, since it uses more digits than its factorization.

11934455500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 11934455500800 in words is "eleven trillion, nine hundred thirty-four billion, four hundred fifty-five million, five hundred thousand, eight hundred".