164128530528 has 384 divisors, whose sum is σ = 514992038400. Its totient is φ = 50699520000.

The previous prime is 164128530493. The next prime is 164128530557. The reversal of 164128530528 is 825035821461.

164128530528 is a `hidden beast` number, since 1 + 6 + 4 + 12 + 85 + 30 + 528 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251345050 + ... + 251345702.

It is an arithmetic number, because the mean of its divisors is an integer number (1341125100).

Almost surely, 2^164128530528 is an apocalyptic number.

164128530528 is a gapful number since it is divisible by the number (18) 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 164128530528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257496019200).

164128530528 is an abundant number, since it is smaller than the sum of its proper divisors (350863507872).

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

164128530528 is a wasteful number, since it uses less digits than its factorization.

164128530528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 164128530528 in words is "one hundred sixty-four billion, one hundred twenty-eight million, five hundred thirty thousand, five hundred twenty-eight".