18558418560 has 768 divisors, whose sum is σ = 71263825920. Its totient is φ = 4087480320.

The previous prime is 18558418513. The next prime is 18558418579. The reversal of 18558418560 is 6581485581.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 146129217 + ... + 146129343.

It is an arithmetic number, because the mean of its divisors is an integer number (92791440).

Almost surely, 2^18558418560 is an apocalyptic number.

18558418560 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 18558418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35631912960).

18558418560 is an abundant number, since it is smaller than the sum of its proper divisors (52705407360).

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

18558418560 is a wasteful number, since it uses less digits than its factorization.

18558418560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 51.

The spelling of 18558418560 in words is "eighteen billion, five hundred fifty-eight million, four hundred eighteen thousand, five hundred sixty".