164541310560 has 288 divisors, whose sum is σ = 613050197760. Its totient is φ = 39855744000.

The previous prime is 164541310519. The next prime is 164541310561. The reversal of 164541310560 is 65013145461.

164541310560 is a `hidden beast` number, since 1 + 6 + 4 + 541 + 3 + 105 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164541310561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22980261 + ... + 22987419.

It is an arithmetic number, because the mean of its divisors is an integer number (2128646520).

Almost surely, 2^164541310560 is an apocalyptic number.

164541310560 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 164541310560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306525098880).

164541310560 is an abundant number, since it is smaller than the sum of its proper divisors (448508887200).

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

164541310560 is a wasteful number, since it uses less digits than its factorization.

164541310560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8642 (or 8631 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 164541310560 in words is "one hundred sixty-four billion, five hundred forty-one million, three hundred ten thousand, five hundred sixty".