218507128840 has 768 divisors, whose sum is σ = 719188243200. Its totient is φ = 59012997120.

The previous prime is 218507128837. The next prime is 218507128841. The reversal of 218507128840 is 48821705812.

It is not an unprimeable number, because it can be changed into a prime (218507128841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 576535771 + ... + 576536149.

It is an arithmetic number, because the mean of its divisors is an integer number (936443025).

Almost surely, 2^218507128840 is an apocalyptic number.

218507128840 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 218507128840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359594121600).

218507128840 is an abundant number, since it is smaller than the sum of its proper divisors (500681114360).

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

218507128840 is a wasteful number, since it uses less digits than its factorization.

218507128840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 46.

The spelling of 218507128840 in words is "two hundred eighteen billion, five hundred seven million, one hundred twenty-eight thousand, eight hundred forty".