18535488480000 has 540 divisors, whose sum is σ = 66849945482320. Its totient is φ = 4937739264000.

The previous prime is 18535488479947. The next prime is 18535488480007. The reversal of 18535488480000 is 8488453581.

18535488480000 is a `hidden beast` number, since 1 + 8 + 53 + 548 + 8 + 48 + 0 + 0 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (18535488480007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1530713946 + ... + 1530726054.

Almost surely, 2^{18535488480000} is an apocalyptic number.

18535488480000 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 18535488480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33424972741160).

18535488480000 is an abundant number, since it is smaller than the sum of its proper divisors (48314457002320).

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

18535488480000 is a wasteful number, since it uses less digits than its factorization.

18535488480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13214 (or 13182 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 18535488480000 in words is "eighteen trillion, five hundred thirty-five billion, four hundred eighty-eight million, four hundred eighty thousand".