165075466320 has 400 divisors, whose sum is σ = 591289155072. Its totient is φ = 42661831680.

The previous prime is 165075466247. The next prime is 165075466343. The reversal of 165075466320 is 23664570561.

165075466320 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 7 + 5 + 4 + 6 + 632 + 0 = 666.

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, 28502625 + ... + 28508415.

Almost surely, 2^165075466320 is an apocalyptic number.

165075466320 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 165075466320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295644577536).

165075466320 is an abundant number, since it is smaller than the sum of its proper divisors (426213688752).

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

165075466320 is a wasteful number, since it uses less digits than its factorization.

165075466320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5952 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 165075466320 in words is "one hundred sixty-five billion, seventy-five million, four hundred sixty-six thousand, three hundred twenty".