165671775360 has 1920 divisors, whose sum is σ = 771170122800. Its totient is φ = 33554497536.

The previous prime is 165671775317. The next prime is 165671775397. The reversal of 165671775360 is 63577176561.

165671775360 is a `hidden beast` number, since 1 + 6 + 567 + 1 + 7 + 75 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 80515197504 + 85156577856 = 283752^2 + 291816^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 165671775297 and 165671775306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 957640234 + ... + 957640406.

Almost surely, 2^165671775360 is an apocalyptic number.

165671775360 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 165671775360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385585061400).

165671775360 is an abundant number, since it is smaller than the sum of its proper divisors (605498347440).

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

165671775360 is a wasteful number, since it uses less digits than its factorization.

165671775360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 165671775360 in words is "one hundred sixty-five billion, six hundred seventy-one million, seven hundred seventy-five thousand, three hundred sixty".