165109908480 has 704 divisors, whose sum is σ = 615758561280. Its totient is φ = 37365350400.

The previous prime is 165109908473. The next prime is 165109908497. The reversal of 165109908480 is 84809901561.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×165109908480² (a number of 23 digits) contains 22 as substring.

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, 151894497 + ... + 151895583.

Almost surely, 2^165109908480 is an apocalyptic number.

165109908480 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 165109908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307879280640).

165109908480 is an abundant number, since it is smaller than the sum of its proper divisors (450648652800).

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

165109908480 is a wasteful number, since it uses less digits than its factorization.

165109908480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The spelling of 165109908480 in words is "one hundred sixty-five billion, one hundred nine million, nine hundred eight thousand, four hundred eighty".