218261852160 has 832 divisors, whose sum is σ = 818500287744. Its totient is φ = 49482301440.

The previous prime is 218261852141. The next prime is 218261852191. The reversal of 218261852160 is 61258162812.

It is a super-2 number, since 2×218261852160² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1390202802 + ... + 1390202958.

Almost surely, 2^218261852160 is an apocalyptic number.

218261852160 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 218261852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409250143872).

218261852160 is an abundant number, since it is smaller than the sum of its proper divisors (600238435584).

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

218261852160 is a wasteful number, since it uses less digits than its factorization.

218261852160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 218261852160 in words is "two hundred eighteen billion, two hundred sixty-one million, eight hundred fifty-two thousand, one hundred sixty".