164520264200 has 96 divisors (see below), whose sum is σ = 405689112360. Its totient is φ = 61833216000.

The previous prime is 164520264179. The next prime is 164520264229. The reversal of 164520264200 is 2462025461.

It can be written as a sum of positive squares in 12 ways, for example, as 8588470276 + 155931793924 = 92674^2 + 394882^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2003144 + ... + 2083656.

Almost surely, 2^164520264200 is an apocalyptic number.

164520264200 is a gapful number since it is divisible by the number (10) 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 164520264200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202844556180).

164520264200 is an abundant number, since it is smaller than the sum of its proper divisors (241168848160).

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

164520264200 is a wasteful number, since it uses less digits than its factorization.

164520264200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81147 (or 81138 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 164520264200 its reverse (2462025461), we get a palindrome (166982289661).

The spelling of 164520264200 in words is "one hundred sixty-four billion, five hundred twenty million, two hundred sixty-four thousand, two hundred".