18858706560 has 288 divisors, whose sum is σ = 69183585900. Its totient is φ = 4732747776.

The previous prime is 18858706547. The next prime is 18858706571. The reversal of 18858706560 is 6560785881.

18858706560 is a `hidden beast` number, since 1 + 8 + 8 + 5 + 8 + 70 + 6 + 560 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12204062784 + 6654643776 = 110472^2 + 81576^2 .

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 = 18858706497 and 18858706506.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1658976 + ... + 1670304.

Almost surely, 2^18858706560 is an apocalyptic number.

18858706560 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 18858706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34591792950).

18858706560 is an abundant number, since it is smaller than the sum of its proper divisors (50324879340).

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

18858706560 is a wasteful number, since it uses less digits than its factorization.

18858706560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11388 (or 11356 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 18858706560 in words is "eighteen billion, eight hundred fifty-eight million, seven hundred six thousand, five hundred sixty".