2167926721000 has 144 divisors (see below), whose sum is σ = 5134811406660. Its totient is φ = 856722400000.

The previous prime is 2167926720991. The next prime is 2167926721007. The reversal of 2167926721000 is 1276297612.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 18 ways, for example, as 88153172836 + 2079773548164 = 296906^2 + 1442142^2 .

It is not an unprimeable number, because it can be changed into a prime (2167926721007) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 4702660770 + ... + 4702661230.

Almost surely, 2^{2167926721000} is an apocalyptic number.

2167926721000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2167926721000 is the 850084-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2167926721000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567405703330).

2167926721000 is an abundant number, since it is smaller than the sum of its proper divisors (2966884685660).

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

2167926721000 is an frugal number, since it uses more digits than its factorization.

2167926721000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 2167926721000 in words is "two trillion, one hundred sixty-seven billion, nine hundred twenty-six million, seven hundred twenty-one thousand".