18060109816320 has 2400 divisors, whose sum is σ = 81099003175344. Its totient is φ = 3802524549120.

The previous prime is 18060109816297. The next prime is 18060109816361. The reversal of 18060109816320 is 2361890106081.

18060109816320 is a `hidden beast` number, since 1 + 8 + 0 + 6 + 0 + 1 + 0 + 9 + 8 + 1 + 632 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10472420876544 + 7587688939776 = 3236112^2 + 2754576^2 .

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 (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5545012132 + ... + 5545015388.

Almost surely, 2^{18060109816320} is an apocalyptic number.

18060109816320 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 18060109816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40549501587672).

18060109816320 is an abundant number, since it is smaller than the sum of its proper divisors (63038893359024).

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

18060109816320 is a wasteful number, since it uses less digits than its factorization.

18060109816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 18060109816320 in words is "eighteen trillion, sixty billion, one hundred nine million, eight hundred sixteen thousand, three hundred twenty".