11924688160000 has 720 divisors, whose sum is σ = 38280859803648. Its totient is φ = 3596774400000.

The previous prime is 11924688159997. The next prime is 11924688160037. The reversal of 11924688160000 is 6188642911.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 381904389 + ... + 381935611.

Almost surely, 2^{11924688160000} is an apocalyptic number.

11924688160000 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 11924688160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19140429901824).

11924688160000 is an abundant number, since it is smaller than the sum of its proper divisors (26356171643648).

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

11924688160000 is an equidigital number, since it uses as much as digits as its factorization.

11924688160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31308 (or 31279 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The spelling of 11924688160000 in words is "eleven trillion, nine hundred twenty-four billion, six hundred eighty-eight million, one hundred sixty thousand".