165288942000 has 1920 divisors, whose sum is σ = 770590679040. Its totient is φ = 32049561600.

The previous prime is 165288941989. The next prime is 165288942023. The reversal of 165288942000 is 249882561.

165288942000 is a `hidden beast` number, since 1 + 6 + 528 + 89 + 42 + 0 + 0 + 0 = 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 383 ways as a sum of consecutive naturals, for example, 1462733944 + ... + 1462734056.

It is an arithmetic number, because the mean of its divisors is an integer number (401349312).

Almost surely, 2^165288942000 is an apocalyptic number.

165288942000 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 165288942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385295339520).

165288942000 is an abundant number, since it is smaller than the sum of its proper divisors (605301737040).

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

165288942000 is a wasteful number, since it uses less digits than its factorization.

165288942000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 165288942000 in words is "one hundred sixty-five billion, two hundred eighty-eight million, nine hundred forty-two thousand".