218103935280 has 480 divisors, whose sum is σ = 863555800320. Its totient is φ = 45027440640.

The previous prime is 218103935243. The next prime is 218103935303. The reversal of 218103935280 is 82539301812.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20304151 + ... + 20314889.

It is an arithmetic number, because the mean of its divisors is an integer number (1799074584).

Almost surely, 2^218103935280 is an apocalyptic number.

218103935280 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 218103935280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431777900160).

218103935280 is an abundant number, since it is smaller than the sum of its proper divisors (645451865040).

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

218103935280 is a wasteful number, since it uses less digits than its factorization.

218103935280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10937 (or 10924 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 218103935280 in words is "two hundred eighteen billion, one hundred three million, nine hundred thirty-five thousand, two hundred eighty".