165802241710080 has 960 divisors, whose sum is σ = 625239707732640. Its totient is φ = 41969398579200.

The previous prime is 165802241710051. The next prime is 165802241710097. The reversal of 165802241710080 is 80017142208561.

165802241710080 is a `hidden beast` number, since 1 + 6 + 58 + 0 + 2 + 2 + 417 + 100 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1258194595 + ... + 1258326365.

Almost surely, 2^{165802241710080} is an apocalyptic number.

165802241710080 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 165802241710080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312619853866320).

165802241710080 is an abundant number, since it is smaller than the sum of its proper divisors (459437466022560).

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

165802241710080 is a wasteful number, since it uses less digits than its factorization.

165802241710080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131888 (or 131859 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 165802241710080 in words is "one hundred sixty-five trillion, eight hundred two billion, two hundred forty-one million, seven hundred ten thousand, eighty".