18279106560 has 1152 divisors, whose sum is σ = 79418102400. Its totient is φ = 3822059520.

The previous prime is 18279106519. The next prime is 18279106577. The reversal of 18279106560 is 6560197281.

18279106560 is a `hidden beast` number, since 1 + 8 + 2 + 79 + 10 + 6 + 560 = 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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 250398684 + ... + 250398756.

It is an arithmetic number, because the mean of its divisors is an integer number (68939325).

Almost surely, 2^18279106560 is an apocalyptic number.

18279106560 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 18279106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39709051200).

18279106560 is an abundant number, since it is smaller than the sum of its proper divisors (61138995840).

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

18279106560 is a wasteful number, since it uses less digits than its factorization.

18279106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 18279106560 in words is "eighteen billion, two hundred seventy-nine million, one hundred six thousand, five hundred sixty".