18535318200000 has 1512 divisors, whose sum is σ = 80615130863904. Its totient is φ = 4051998720000.

The previous prime is 18535318199969. The next prime is 18535318200017. The reversal of 18535318200000 is 281353581.

18535318200000 is a `hidden beast` number, since 18 + 535 + 31 + 82 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2028595432 + ... + 2028604568.

It is an arithmetic number, because the mean of its divisors is an integer number (53316885492).

Almost surely, 2^{18535318200000} is an apocalyptic number.

18535318200000 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 18535318200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40307565431952).

18535318200000 is an abundant number, since it is smaller than the sum of its proper divisors (62079812663904).

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

18535318200000 is an equidigital number, since it uses as much as digits as its factorization.

18535318200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9217 (or 9177 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 18535318200000 its reverse (281353581), we get a palindrome (18535599553581).

The spelling of 18535318200000 in words is "eighteen trillion, five hundred thirty-five billion, three hundred eighteen million, two hundred thousand".