11325768854400 has 9216 divisors, whose sum is σ = 63643926528000. Its totient is φ = 1839366144000.

The previous prime is 11325768854333. The next prime is 11325768854459. The reversal of 11325768854400 is 445886752311.

It is a happy number.

11325768854400 is a `hidden beast` number, since 1 + 1 + 3 + 25 + 76 + 8 + 8 + 544 + 0 + 0 = 666.

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 1151 ways as a sum of consecutive naturals, for example, 365347382385 + ... + 365347382415.

It is an arithmetic number, because the mean of its divisors is an integer number (6905808000).

Almost surely, 2^{11325768854400} is an apocalyptic number.

11325768854400 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 11325768854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31821963264000).

11325768854400 is an abundant number, since it is smaller than the sum of its proper divisors (52318157673600).

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

11325768854400 is a wasteful number, since it uses less digits than its factorization.

11325768854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 11325768854400 in words is "eleven trillion, three hundred twenty-five billion, seven hundred sixty-eight million, eight hundred fifty-four thousand, four hundred".