218103995520 has 160 divisors (see below), whose sum is σ = 778888933020. Its totient is φ = 58161051648.

The previous prime is 218103995519. The next prime is 218103995533. The reversal of 218103995520 is 25599301812.

218103995520 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 0 + 3 + 99 + 552 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 217745423424 + 358572096 = 466632^2 + 18936^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2051787 + ... + 2155466.

Almost surely, 2^218103995520 is an apocalyptic number.

218103995520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218103995520 is an abundant number, since it is smaller than the sum of its proper divisors (560784937500).

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

218103995520 is an equidigital number, since it uses as much as digits as its factorization.

218103995520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207284 (or 4207263 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 218103995520 in words is "two hundred eighteen billion, one hundred three million, nine hundred ninety-five thousand, five hundred twenty".