18082779370560 has 672 divisors, whose sum is σ = 67426891564032. Its totient is φ = 4604081264640.

The previous prime is 18082779370549. The next prime is 18082779370561. The reversal of 18082779370560 is 6507397728081.

18082779370560 is a `hidden beast` number, since 18 + 0 + 8 + 27 + 7 + 9 + 37 + 0 + 560 = 666.

It is not an unprimeable number, because it can be changed into a prime (18082779370561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1021213227 + ... + 1021230933.

It is an arithmetic number, because the mean of its divisors is an integer number (100337636256).

Almost surely, 2^{18082779370560} is an apocalyptic number.

18082779370560 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 18082779370560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33713445782016).

18082779370560 is an abundant number, since it is smaller than the sum of its proper divisors (49344112193472).

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

18082779370560 is a wasteful number, since it uses less digits than its factorization.

18082779370560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18333 (or 18311 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 18082779370560 in words is "eighteen trillion, eighty-two billion, seven hundred seventy-nine million, three hundred seventy thousand, five hundred sixty".