218077361260 has 96 divisors (see below), whose sum is σ = 504853751808. Its totient is φ = 78467950080.

The previous prime is 218077361237. The next prime is 218077361267. The reversal of 218077361260 is 62163770812.

218077361260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (218077361267) 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 31 ways as a sum of consecutive naturals, for example, 22052037 + ... + 22061923.

It is an arithmetic number, because the mean of its divisors is an integer number (5258893248).

Almost surely, 2^218077361260 is an apocalyptic number.

218077361260 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 218077361260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252426875904).

218077361260 is an abundant number, since it is smaller than the sum of its proper divisors (286776390548).

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

218077361260 is a wasteful number, since it uses less digits than its factorization.

218077361260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10951 (or 10949 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 218077361260 in words is "two hundred eighteen billion, seventy-seven million, three hundred sixty-one thousand, two hundred sixty".