2167065721160 has 64 divisors (see below), whose sum is σ = 4961813338800. Its totient is φ = 851586739200.

The previous prime is 2167065721087. The next prime is 2167065721187. The reversal of 2167065721160 is 611275607612.

It can be written as a sum of positive squares in 8 ways, for example, as 852819004324 + 1314246716836 = 923482^2 + 1146406^2 .

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, 1487090 + ... + 2558430.

Almost surely, 2^{2167065721160} is an apocalyptic number.

2167065721160 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 2167065721160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480906669400).

2167065721160 is an abundant number, since it is smaller than the sum of its proper divisors (2794747617640).

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

2167065721160 is a wasteful number, since it uses less digits than its factorization.

2167065721160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072242 (or 1072238 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 2167065721160 in words is "two trillion, one hundred sixty-seven billion, sixty-five million, seven hundred twenty-one thousand, one hundred sixty".