164021600160 has 1536 divisors, whose sum is σ = 695614832640. Its totient is φ = 35674214400.

The previous prime is 164021600101. The next prime is 164021600161. The reversal of 164021600160 is 61006120461.

164021600160 is a `hidden beast` number, since 1 + 6 + 40 + 2 + 1 + 600 + 16 + 0 = 666.

164021600160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (164021600161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1592442669 + ... + 1592442771.

It is an arithmetic number, because the mean of its divisors is an integer number (452874240).

Almost surely, 2^164021600160 is an apocalyptic number.

164021600160 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 164021600160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347807416320).

164021600160 is an abundant number, since it is smaller than the sum of its proper divisors (531593232480).

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

164021600160 is a wasteful number, since it uses less digits than its factorization.

164021600160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 164021600160 in words is "one hundred sixty-four billion, twenty-one million, six hundred thousand, one hundred sixty".