18601008168960 has 1520 divisors, whose sum is σ = 77271414544896. Its totient is φ = 4210380767232.

The previous prime is 18601008168943. The next prime is 18601008168991. The reversal of 18601008168960 is 6986180010681.

18601008168960 is a `hidden beast` number, since 18 + 601 + 0 + 0 + 8 + 16 + 8 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18601008168897 and 18601008168906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 180592312269 + ... + 180592312371.

Almost surely, 2^{18601008168960} is an apocalyptic number.

18601008168960 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 18601008168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38635707272448).

18601008168960 is an abundant number, since it is smaller than the sum of its proper divisors (58670406375936).

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

18601008168960 is an frugal number, since it uses more digits than its factorization.

18601008168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 18601008168960 in words is "eighteen trillion, six hundred one billion, eight million, one hundred sixty-eight thousand, nine hundred sixty".