11523880368000 has 6144 divisors, whose sum is σ = 59974135603200. Its totient is φ = 2163345408000.

The previous prime is 11523880367999. The next prime is 11523880368017. The reversal of 11523880368000 is 86308832511.

11523880368000 is a `hidden beast` number, since 11 + 523 + 8 + 8 + 0 + 36 + 80 + 0 + 0 = 666.

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

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 767 ways as a sum of consecutive naturals, for example, 245188943977 + ... + 245188944023.

It is an arithmetic number, because the mean of its divisors is an integer number (9761415300).

Almost surely, 2^{11523880368000} is an apocalyptic number.

11523880368000 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 11523880368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29987067801600).

11523880368000 is an abundant number, since it is smaller than the sum of its proper divisors (48450255235200).

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

11523880368000 is an equidigital number, since it uses as much as digits as its factorization.

11523880368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 11523880368000 in words is "eleven trillion, five hundred twenty-three billion, eight hundred eighty million, three hundred sixty-eight thousand".