2200161035680 has 96 divisors (see below), whose sum is σ = 5379249612240. Its totient is φ = 849380474880.

The previous prime is 2200161035627. The next prime is 2200161035707. The reversal of 2200161035680 is 865301610022.

It can be written as a sum of positive squares in 8 ways, for example, as 192170010384 + 2007991025296 = 438372^2 + 1417036^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11771760 + ... + 11957200.

Almost surely, 2^{2200161035680} is an apocalyptic number.

2200161035680 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 2200161035680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689624806120).

2200161035680 is an abundant number, since it is smaller than the sum of its proper divisors (3179088576560).

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

2200161035680 is a wasteful number, since it uses less digits than its factorization.

2200161035680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188042 (or 188034 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 2200161035680 in words is "two trillion, two hundred billion, one hundred sixty-one million, thirty-five thousand, six hundred eighty".