18205630560 has 576 divisors, whose sum is σ = 69098702400. Its totient is φ = 4337418240.

The previous prime is 18205630559. The next prime is 18205630591. The reversal of 18205630560 is 6503650281.

18205630560 is a `hidden beast` number, since 18 + 2 + 0 + 5 + 630 + 5 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122185366 + ... + 122185514.

It is an arithmetic number, because the mean of its divisors is an integer number (119963025).

Almost surely, 2^18205630560 is an apocalyptic number.

18205630560 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 18205630560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34549351200).

18205630560 is an abundant number, since it is smaller than the sum of its proper divisors (50893071840).

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

18205630560 is a wasteful number, since it uses less digits than its factorization.

18205630560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 18205630560 in words is "eighteen billion, two hundred five million, six hundred thirty thousand, five hundred sixty".