165855470372592 has 3840 divisors, whose sum is σ = 673012924416000. Its totient is φ = 34396146892800.

The previous prime is 165855470372563. The next prime is 165855470372689. The reversal of 165855470372592 is 295273074558561.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 405514597284 + ... + 405514597692.

It is an arithmetic number, because the mean of its divisors is an integer number (175263782400).

It is a 1-persistent number, because it is pandigital, but 2⋅165855470372592 = 331710940745184 is not.

Almost surely, 2^{165855470372592} is an apocalyptic number.

165855470372592 is a gapful number since it is divisible by the number (12) 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 165855470372592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336506462208000).

165855470372592 is an abundant number, since it is smaller than the sum of its proper divisors (507157454043408).

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

165855470372592 is a wasteful number, since it uses less digits than its factorization.

165855470372592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 635040000, while the sum is 69.

The spelling of 165855470372592 in words is "one hundred sixty-five trillion, eight hundred fifty-five billion, four hundred seventy million, three hundred seventy-two thousand, five hundred ninety-two".