218085698960 has 40 divisors (see below), whose sum is σ = 520753290936. Its totient is φ = 84876595200.

The previous prime is 218085698921. The next prime is 218085698969. The reversal of 218085698960 is 69896580812.

It can be written as a sum of positive squares in 4 ways, for example, as 76556249344 + 141529449616 = 276688^2 + 376204^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×218085698960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 218085698893 and 218085698902.

It is not an unprimeable number, because it can be changed into a prime (218085698969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36835841 + ... + 36841760.

Almost surely, 2^218085698960 is an apocalyptic number.

218085698960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218085698960 is an abundant number, since it is smaller than the sum of its proper divisors (302667591976).

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

218085698960 is a wasteful number, since it uses less digits than its factorization.

218085698960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73677651 (or 73677645 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 62.

The spelling of 218085698960 in words is "two hundred eighteen billion, eighty-five million, six hundred ninety-eight thousand, nine hundred sixty".