11800326873600 has 1440 divisors, whose sum is σ = 44567796049920. Its totient is φ = 2978021376000.

The previous prime is 11800326873547. The next prime is 11800326873619. The reversal of 11800326873600 is 637862300811.

11800326873600 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 0 + 32 + 6 + 8 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 43543641465 + ... + 43543641735.

It is an arithmetic number, because the mean of its divisors is an integer number (30949858368).

Almost surely, 2^{11800326873600} is an apocalyptic number.

11800326873600 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 11800326873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22283898024960).

11800326873600 is an abundant number, since it is smaller than the sum of its proper divisors (32767469176320).

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

11800326873600 is a wasteful number, since it uses less digits than its factorization.

11800326873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11800326873600 in words is "eleven trillion, eight hundred billion, three hundred twenty-six million, eight hundred seventy-three thousand, six hundred".