165676209120 has 864 divisors, whose sum is σ = 660403860480. Its totient is φ = 37638881280.

The previous prime is 165676209113. The next prime is 165676209121. The reversal of 165676209120 is 21902676561.

165676209120 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 7 + 620 + 9 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165676209121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 181861465 + ... + 181862375.

It is an arithmetic number, because the mean of its divisors is an integer number (764356320).

Almost surely, 2^165676209120 is an apocalyptic number.

165676209120 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 165676209120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330201930240).

165676209120 is an abundant number, since it is smaller than the sum of its proper divisors (494727651360).

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

165676209120 is a wasteful number, since it uses less digits than its factorization.

165676209120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 165676209120 in words is "one hundred sixty-five billion, six hundred seventy-six million, two hundred nine thousand, one hundred twenty".