18216139818240 has 2880 divisors, whose sum is σ = 84975619491840. Its totient is φ = 3618295971840.

The previous prime is 18216139818187. The next prime is 18216139818241. The reversal of 18216139818240 is 4281893161281.

18216139818240 is a `hidden beast` number, since 1 + 8 + 2 + 1 + 6 + 1 + 398 + 1 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18216139818241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 55033654875 + ... + 55033655205.

Almost surely, 2^{18216139818240} is an apocalyptic number.

18216139818240 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 18216139818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42487809745920).

18216139818240 is an abundant number, since it is smaller than the sum of its proper divisors (66759479673600).

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

18216139818240 is a wasteful number, since it uses less digits than its factorization.

18216139818240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 18216139818240 in words is "eighteen trillion, two hundred sixteen billion, one hundred thirty-nine million, eight hundred eighteen thousand, two hundred forty".