165084987060 has 480 divisors, whose sum is σ = 599802846720. Its totient is φ = 37231488000.

The previous prime is 165084987049. The next prime is 165084987061. The reversal of 165084987060 is 60789480561.

165084987060 is a `hidden beast` number, since 1 + 6 + 508 + 4 + 9 + 8 + 70 + 60 = 666.

It is a super-3 number, since 3×165084987060³ (a number of 35 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 165084986988 and 165084987006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165084987061) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 392125650 + ... + 392126070.

It is an arithmetic number, because the mean of its divisors is an integer number (1249589264).

Almost surely, 2^165084987060 is an apocalyptic number.

165084987060 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 165084987060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299901423360).

165084987060 is an abundant number, since it is smaller than the sum of its proper divisors (434717859660).

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

165084987060 is a wasteful number, since it uses less digits than its factorization.

165084987060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 165084987060 in words is "one hundred sixty-five billion, eighty-four million, nine hundred eighty-seven thousand, sixty".