165528334732320 has 384 divisors, whose sum is σ = 662612454604800. Its totient is φ = 37806527056896.

The previous prime is 165528334732309. The next prime is 165528334732339. The reversal of 165528334732320 is 23237433825561.

165528334732320 is a `hidden beast` number, since 1 + 6 + 5 + 5 + 2 + 8 + 334 + 73 + 232 + 0 = 666.

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

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, 38066001 + ... + 42190959.

It is an arithmetic number, because the mean of its divisors is an integer number (1725553267200).

Almost surely, 2^{165528334732320} is an apocalyptic number.

165528334732320 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 165528334732320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331306227302400).

165528334732320 is an abundant number, since it is smaller than the sum of its proper divisors (497084119872480).

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

165528334732320 is a wasteful number, since it uses less digits than its factorization.

165528334732320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4126317 (or 4126303 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 165528334732320 in words is "one hundred sixty-five trillion, five hundred twenty-eight billion, three hundred thirty-four million, seven hundred thirty-two thousand, three hundred twenty".