165160315555300 has 216 divisors, whose sum is σ = 393609114138744. Its totient is φ = 60115525816320.

The previous prime is 165160315555283. The next prime is 165160315555321. The reversal of 165160315555300 is 3555513061561.

It can be written as a sum of positive squares in 36 ways, for example, as 163343276258724 + 1817039296576 = 12780582^2 + 1347976^2 .

It is a super-2 number, since 2×165160315555300² (a number of 29 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 2434056174 + ... + 2434124026.

It is an arithmetic number, because the mean of its divisors is an integer number (1822264417309).

Almost surely, 2^{165160315555300} is an apocalyptic number.

165160315555300 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 165160315555300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196804557069372).

165160315555300 is an abundant number, since it is smaller than the sum of its proper divisors (228448798583444).

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

165160315555300 is a wasteful number, since it uses less digits than its factorization.

165160315555300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69939 (or 69919 counting only the distinct ones).

The product of its (nonzero) digits is 1012500, while the sum is 46.

The spelling of 165160315555300 in words is "one hundred sixty-five trillion, one hundred sixty billion, three hundred fifteen million, five hundred fifty-five thousand, three hundred".