2175165327360 has 192 divisors, whose sum is σ = 7000515849600. Its totient is φ = 576569409536.

The previous prime is 2175165327317. The next prime is 2175165327371. The reversal of 2175165327360 is 637235615712.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4918246 + ... + 5342234.

It is an arithmetic number, because the mean of its divisors is an integer number (36461020050).

Almost surely, 2^{2175165327360} is an apocalyptic number.

2175165327360 is a gapful number since it is divisible by the number (20) 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 2175165327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500257924800).

2175165327360 is an abundant number, since it is smaller than the sum of its proper divisors (4825350522240).

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

2175165327360 is a wasteful number, since it uses less digits than its factorization.

2175165327360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424186 (or 424166 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 2175165327360 in words is "two trillion, one hundred seventy-five billion, one hundred sixty-five million, three hundred twenty-seven thousand, three hundred sixty".