165088329120 has 1152 divisors, whose sum is σ = 716764059648. Its totient is φ = 35309260800.

The previous prime is 165088329071. The next prime is 165088329149. The reversal of 165088329120 is 21923880561.

165088329120 is a `hidden beast` number, since 1 + 6 + 508 + 8 + 32 + 91 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 127875675 + ... + 127876965.

It is an arithmetic number, because the mean of its divisors is an integer number (622191024).

Almost surely, 2^165088329120 is an apocalyptic number.

165088329120 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 165088329120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358382029824).

165088329120 is an abundant number, since it is smaller than the sum of its proper divisors (551675730528).

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

165088329120 is a wasteful number, since it uses less digits than its factorization.

165088329120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 165088329120 in words is "one hundred sixty-five billion, eighty-eight million, three hundred twenty-nine thousand, one hundred twenty".