2167566721320 has 512 divisors, whose sum is σ = 8966886727680. Its totient is φ = 404519546880.

The previous prime is 2167566721319. The next prime is 2167566721343. The reversal of 2167566721320 is 231276657612.

It is a self number, because there is not a number n which added to its sum of digits gives 2167566721320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4200589 + ... + 4688291.

It is an arithmetic number, because the mean of its divisors is an integer number (17513450640).

Almost surely, 2^{2167566721320} is an apocalyptic number.

2167566721320 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 2167566721320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483443363840).

2167566721320 is an abundant number, since it is smaller than the sum of its proper divisors (6799320006360).

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

2167566721320 is a wasteful number, since it uses less digits than its factorization.

2167566721320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487785 (or 487781 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 2167566721320 in words is "two trillion, one hundred sixty-seven billion, five hundred sixty-six million, seven hundred twenty-one thousand, three hundred twenty".