164097089280 has 432 divisors, whose sum is σ = 594043632000. Its totient is φ = 41767993344.

The previous prime is 164097089207. The next prime is 164097089291. The reversal of 164097089280 is 82980790461.

164097089280 is a `hidden beast` number, since 1 + 6 + 409 + 70 + 8 + 92 + 80 = 666.

164097089280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29730361 + ... + 29735879.

It is an arithmetic number, because the mean of its divisors is an integer number (1375101000).

Almost surely, 2^164097089280 is an apocalyptic number.

164097089280 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 164097089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297021816000).

164097089280 is an abundant number, since it is smaller than the sum of its proper divisors (429946542720).

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

164097089280 is a wasteful number, since it uses less digits than its factorization.

164097089280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5664 (or 5647 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 164097089280 in words is "one hundred sixty-four billion, ninety-seven million, eighty-nine thousand, two hundred eighty".