11782112348160 has 1152 divisors, whose sum is σ = 51197630964480. Its totient is φ = 2434439577600.

The previous prime is 11782112348077. The next prime is 11782112348191. The reversal of 11782112348160 is 6184321128711.

11782112348160 is a `hidden beast` number, since 1 + 1 + 7 + 82 + 11 + 23 + 481 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 1284429334 + ... + 1284438506.

It is an arithmetic number, because the mean of its divisors is an integer number (44442387990).

Almost surely, 2^{11782112348160} is an apocalyptic number.

11782112348160 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 11782112348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25598815482240).

11782112348160 is an abundant number, since it is smaller than the sum of its proper divisors (39415518616320).

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

11782112348160 is a wasteful number, since it uses less digits than its factorization.

11782112348160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9405 (or 9382 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 11782112348160 in words is "eleven trillion, seven hundred eighty-two billion, one hundred twelve million, three hundred forty-eight thousand, one hundred sixty".