218708398080 has 832 divisors, whose sum is σ = 831786220800. Its totient is φ = 55037657088.

The previous prime is 218708398067. The next prime is 218708398081. The reversal of 218708398080 is 80893807812.

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 (218708398081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 851005312 + ... + 851005568.

Almost surely, 2^218708398080 is an apocalyptic number.

218708398080 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 218708398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415893110400).

218708398080 is an abundant number, since it is smaller than the sum of its proper divisors (613077822720).

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

218708398080 is an frugal number, since it uses more digits than its factorization.

218708398080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 218708398080 in words is "two hundred eighteen billion, seven hundred eight million, three hundred ninety-eight thousand, eighty".