18665256960 has 288 divisors, whose sum is σ = 73934471520. Its totient is φ = 4266196992.

The previous prime is 18665256943. The next prime is 18665256971. The reversal of 18665256960 is 6965256681.

18665256960 is a `hidden beast` number, since 18 + 6 + 6 + 5 + 2 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 18665256897 and 18665256906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630654 + ... + 659586.

It is an arithmetic number, because the mean of its divisors is an integer number (256716915).

Almost surely, 2^18665256960 is an apocalyptic number.

18665256960 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 18665256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36967235760).

18665256960 is an abundant number, since it is smaller than the sum of its proper divisors (55269214560).

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

18665256960 is a wasteful number, since it uses less digits than its factorization.

18665256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28973 (or 28950 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

It can be divided in two parts, 18665 and 256960, that added together give a square (275625 = 525²).

The spelling of 18665256960 in words is "eighteen billion, six hundred sixty-five million, two hundred fifty-six thousand, nine hundred sixty".