18279975168000 has 1152 divisors, whose sum is σ = 81095469960960. Its totient is φ = 3856829644800.

The previous prime is 18279975167893. The next prime is 18279975168001. The reversal of 18279975168000 is 86157997281.

18279975168000 is a `hidden beast` number, since 1 + 8 + 27 + 9 + 97 + 516 + 8 + 0 + 0 + 0 = 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 (63).

It is not an unprimeable number, because it can be changed into a prime (18279975168001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209620407 + ... + 209707593.

It is an arithmetic number, because the mean of its divisors is an integer number (70395373230).

Almost surely, 2^{18279975168000} is an apocalyptic number.

18279975168000 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 18279975168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40547734980480).

18279975168000 is an abundant number, since it is smaller than the sum of its proper divisors (62815494792960).

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

18279975168000 is a wasteful number, since it uses less digits than its factorization.

18279975168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87250 (or 87217 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 63.

The spelling of 18279975168000 in words is "eighteen trillion, two hundred seventy-nine billion, nine hundred seventy-five million, one hundred sixty-eight thousand".