165775014720 has 560 divisors, whose sum is σ = 695695807488. Its totient is φ = 36667883520.

The previous prime is 165775014719. The next prime is 165775014733. The reversal of 165775014720 is 27410577561.

165775014720 is a `hidden beast` number, since 1 + 6 + 5 + 77 + 501 + 4 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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, 5609904 + ... + 5639376.

Almost surely, 2^165775014720 is an apocalyptic number.

165775014720 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 165775014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347847903744).

165775014720 is an abundant number, since it is smaller than the sum of its proper divisors (529920792768).

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

165775014720 is a wasteful number, since it uses less digits than its factorization.

165775014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29540 (or 29521 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 165775014720 in words is "one hundred sixty-five billion, seven hundred seventy-five million, fourteen thousand, seven hundred twenty".