18185808960 has 784 divisors, whose sum is σ = 74758052160. Its totient is φ = 4165447680.

The previous prime is 18185808943. The next prime is 18185808961. The reversal of 18185808960 is 6980858181.

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 = 18185808897 and 18185808906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18185808961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48755334 + ... + 48755706.

Almost surely, 2^18185808960 is an apocalyptic number.

18185808960 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 18185808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37379026080).

18185808960 is an abundant number, since it is smaller than the sum of its proper divisors (56572243200).

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

18185808960 is a wasteful number, since it uses less digits than its factorization.

18185808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The spelling of 18185808960 in words is "eighteen billion, one hundred eighty-five million, eight hundred eight thousand, nine hundred sixty".