218887004160000 has 2720 divisors, whose sum is σ = 931616597260800. Its totient is φ = 50217615360000.

The previous prime is 218887004159977. The next prime is 218887004160007. The reversal of 218887004160000 is 61400788812.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (218887004160007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 231137279527 + ... + 231137280473.

Almost surely, 2^{218887004160000} is an apocalyptic number.

218887004160000 is a gapful number since it is divisible by the number (20) 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 218887004160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465808298630400).

218887004160000 is an abundant number, since it is smaller than the sum of its proper divisors (712729593100800).

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

218887004160000 is an frugal number, since it uses more digits than its factorization.

218887004160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 218887004160000 in words is "two hundred eighteen trillion, eight hundred eighty-seven billion, four million, one hundred sixty thousand".