165332547360 has 240 divisors, whose sum is σ = 583917470136. Its totient is φ = 44056092672.

The previous prime is 165332547343. The next prime is 165332547383. The reversal of 165332547360 is 63745233561.

It is a happy number.

165332547360 is a `hidden beast` number, since 1 + 6 + 5 + 33 + 254 + 7 + 360 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 133333061904 + 31999485456 = 365148^2 + 178884^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 21211624 + ... + 21219416.

Almost surely, 2^165332547360 is an apocalyptic number.

165332547360 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 165332547360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291958735068).

165332547360 is an abundant number, since it is smaller than the sum of its proper divisors (418584922776).

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

165332547360 is a wasteful number, since it uses less digits than its factorization.

165332547360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9457 (or 9440 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 165332547360 in words is "one hundred sixty-five billion, three hundred thirty-two million, five hundred forty-seven thousand, three hundred sixty".