18265935760 has 240 divisors, whose sum is σ = 47390645376. Its totient is φ = 6533480448.

The previous prime is 18265935733. The next prime is 18265935763. The reversal of 18265935760 is 6753956281.

It is a junction number, because it is equal to n+sod(n) for n = 18265935698 and 18265935707.

It is not an unprimeable number, because it can be changed into a prime (18265935763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71073552 + ... + 71073808.

Almost surely, 2^18265935760 is an apocalyptic number.

18265935760 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 18265935760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23695322688).

18265935760 is an abundant number, since it is smaller than the sum of its proper divisors (29124709616).

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

18265935760 is a wasteful number, since it uses less digits than its factorization.

18265935760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 18265935760 in words is "eighteen billion, two hundred sixty-five million, nine hundred thirty-five thousand, seven hundred sixty".