18086664960 has 1152 divisors, whose sum is σ = 81095454720. Its totient is φ = 3762339840.

The previous prime is 18086664949. The next prime is 18086664979. The reversal of 18086664960 is 6946668081.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18086664897 and 18086664906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 254741725 + ... + 254741795.

It is an arithmetic number, because the mean of its divisors is an integer number (70395360).

Almost surely, 2^18086664960 is an apocalyptic number.

18086664960 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 18086664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40547727360).

18086664960 is an abundant number, since it is smaller than the sum of its proper divisors (63008789760).

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

18086664960 is an frugal number, since it uses more digits than its factorization.

18086664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 18086664960 in words is "eighteen billion, eighty-six million, six hundred sixty-four thousand, nine hundred sixty".