11331981621600 has 288 divisors, whose sum is σ = 37595737781280. Its totient is φ = 2964235223040.

The previous prime is 11331981621559. The next prime is 11331981621607. The reversal of 11331981621600 is 612618913311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331981621607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 26091016 + ... + 26521784.

It is an arithmetic number, because the mean of its divisors is an integer number (130540756185).

Almost surely, 2^{11331981621600} is an apocalyptic number.

11331981621600 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 11331981621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18797868890640).

11331981621600 is an abundant number, since it is smaller than the sum of its proper divisors (26263756159680).

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

11331981621600 is a wasteful number, since it uses less digits than its factorization.

11331981621600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431002 (or 430989 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 11331981621600 in words is "eleven trillion, three hundred thirty-one billion, nine hundred eighty-one million, six hundred twenty-one thousand, six hundred".