2165071617120 has 48 divisors (see below), whose sum is σ = 6819975595440. Its totient is φ = 577352431104.

The previous prime is 2165071617113. The next prime is 2165071617139. The reversal of 2165071617120 is 217161705612.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2165071617120² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2255282455 + ... + 2255283414.

It is an arithmetic number, because the mean of its divisors is an integer number (142082824905).

Almost surely, 2^{2165071617120} is an apocalyptic number.

2165071617120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2165071617120 is an abundant number, since it is smaller than the sum of its proper divisors (4654903978320).

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

2165071617120 is a wasteful number, since it uses less digits than its factorization.

2165071617120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4510565887 (or 4510565879 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The spelling of 2165071617120 in words is "two trillion, one hundred sixty-five billion, seventy-one million, six hundred seventeen thousand, one hundred twenty".