218040560700 has 144 divisors (see below), whose sum is σ = 635629317120. Its totient is φ = 57706062080.

The previous prime is 218040560669. The next prime is 218040560701. The reversal of 218040560700 is 7065040812.

218040560700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×218040560700² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218040560701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36018874 + ... + 36024926.

It is an arithmetic number, because the mean of its divisors is an integer number (4414092480).

Almost surely, 2^218040560700 is an apocalyptic number.

218040560700 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 218040560700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317814658560).

218040560700 is an abundant number, since it is smaller than the sum of its proper divisors (417588756420).

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

218040560700 is a wasteful number, since it uses less digits than its factorization.

218040560700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6956 (or 6949 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 218040560700 in words is "two hundred eighteen billion, forty million, five hundred sixty thousand, seven hundred".