18279832016160 has 576 divisors, whose sum is σ = 75812619617280. Its totient is φ = 3949535600640.

The previous prime is 18279832016141. The next prime is 18279832016177. The reversal of 18279832016160 is 6161023897281.

18279832016160 is a `hidden beast` number, since 1 + 8 + 279 + 8 + 3 + 201 + 6 + 160 = 666.

It is a super-2 number, since 2×18279832016160² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18279832016097 and 18279832016106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4441137 + ... + 7502223.

It is an arithmetic number, because the mean of its divisors is an integer number (131619131280).

Almost surely, 2^{18279832016160} is an apocalyptic number.

18279832016160 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 18279832016160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37906309808640).

18279832016160 is an abundant number, since it is smaller than the sum of its proper divisors (57532787601120).

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

18279832016160 is a wasteful number, since it uses less digits than its factorization.

18279832016160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061161 (or 3061150 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 18279832016160 in words is "eighteen trillion, two hundred seventy-nine billion, eight hundred thirty-two million, sixteen thousand, one hundred sixty".