18205410960 has 800 divisors, whose sum is σ = 72336084480. Its totient is φ = 4205260800.

The previous prime is 18205410913. The next prime is 18205411001. The reversal of 18205410960 is 6901450281.

18205410960 is a `hidden beast` number, since 1 + 8 + 20 + 541 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 230448201 + ... + 230448279.

Almost surely, 2^18205410960 is an apocalyptic number.

18205410960 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 18205410960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36168042240).

18205410960 is an abundant number, since it is smaller than the sum of its proper divisors (54130673520).

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

18205410960 is a wasteful number, since it uses less digits than its factorization.

18205410960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 18205410960 in words is "eighteen billion, two hundred five million, four hundred ten thousand, nine hundred sixty".