164209489920 has 2304 divisors, whose sum is σ = 774414950400. Its totient is φ = 32699842560.

The previous prime is 164209489909. The next prime is 164209489973. The reversal of 164209489920 is 29984902461.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 5297080305 + ... + 5297080335.

It is an arithmetic number, because the mean of its divisors is an integer number (336117600).

Almost surely, 2^164209489920 is an apocalyptic number.

164209489920 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 164209489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387207475200).

164209489920 is an abundant number, since it is smaller than the sum of its proper divisors (610205460480).

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

164209489920 is a wasteful number, since it uses less digits than its factorization.

164209489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 164209489920 in words is "one hundred sixty-four billion, two hundred nine million, four hundred eighty-nine thousand, nine hundred twenty".