2165168506032 has 960 divisors, whose sum is σ = 7748316576000. Its totient is φ = 561842749440.

The previous prime is 2165168506009. The next prime is 2165168506037. The reversal of 2165168506032 is 2306058615612.

2165168506032 is a `hidden beast` number, since 2 + 1 + 6 + 51 + 68 + 506 + 0 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (2165168506037) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3752458128 + ... + 3752458704.

It is an arithmetic number, because the mean of its divisors is an integer number (8071163100).

Almost surely, 2^{2165168506032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2165168506032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874158288000).

2165168506032 is an abundant number, since it is smaller than the sum of its proper divisors (5583148069968).

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

2165168506032 is a wasteful number, since it uses less digits than its factorization.

2165168506032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 2165168506032 in words is "two trillion, one hundred sixty-five billion, one hundred sixty-eight million, five hundred six thousand, thirty-two".