164096510200 has 192 divisors, whose sum is σ = 446584541760. Its totient is φ = 54915563520.

The previous prime is 164096510177. The next prime is 164096510213. The reversal of 164096510200 is 2015690461.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9905124 + ... + 9921676.

It is an arithmetic number, because the mean of its divisors is an integer number (2325961155).

Almost surely, 2^164096510200 is an apocalyptic number.

164096510200 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 164096510200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223292270880).

164096510200 is an abundant number, since it is smaller than the sum of its proper divisors (282488031560).

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

164096510200 is a wasteful number, since it uses less digits than its factorization.

164096510200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16746 (or 16737 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 164096510200 in words is "one hundred sixty-four billion, ninety-six million, five hundred ten thousand, two hundred".