2159067168000 has 1296 divisors, whose sum is σ = 8335336136400. Its totient is φ = 535965696000.

The previous prime is 2159067167947. The next prime is 2159067168001. The reversal of 2159067168000 is 8617609512.

It can be written as a sum of positive squares in 8 ways, for example, as 1232206562304 + 926860605696 = 1110048^2 + 962736^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2159067168001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8026271866 + ... + 8026272134.

It is an arithmetic number, because the mean of its divisors is an integer number (6431586525).

Almost surely, 2^{2159067168000} is an apocalyptic number.

2159067168000 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 2159067168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167668068200).

2159067168000 is an abundant number, since it is smaller than the sum of its proper divisors (6176268968400).

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

2159067168000 is a wasteful number, since it uses less digits than its factorization.

2159067168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 2159067168000 in words is "two trillion, one hundred fifty-nine billion, sixty-seven million, one hundred sixty-eight thousand".