218930428080 has 1080 divisors, whose sum is σ = 940685604768. Its totient is φ = 45468573696.

The previous prime is 218930428061. The next prime is 218930428117. The reversal of 218930428080 is 80824039812.

218930428080 is a `hidden beast` number, since 218 + 9 + 3 + 0 + 428 + 0 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 435249109 + ... + 435249611.

Almost surely, 2^218930428080 is an apocalyptic number.

218930428080 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 218930428080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470342802384).

218930428080 is an abundant number, since it is smaller than the sum of its proper divisors (721755176688).

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

218930428080 is a wasteful number, since it uses less digits than its factorization.

218930428080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 218930428080 in words is "two hundred eighteen billion, nine hundred thirty million, four hundred twenty-eight thousand, eighty".