2207116800000 has 2808 divisors, whose sum is σ = 10241678053152. Its totient is φ = 454164480000.

The previous prime is 2207116799981. The next prime is 2207116800029. The reversal of 2207116800000 is 86117022.

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 215 ways as a sum of consecutive naturals, for example, 95961599989 + ... + 95961600011.

It is an arithmetic number, because the mean of its divisors is an integer number (3647321244).

Almost surely, 2^{2207116800000} is an apocalyptic number.

2207116800000 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 2207116800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120839026576).

2207116800000 is an abundant number, since it is smaller than the sum of its proper divisors (8034561253152).

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

2207116800000 is an equidigital number, since it uses as much as digits as its factorization.

2207116800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 2207116800000 in words is "two trillion, two hundred seven billion, one hundred sixteen million, eight hundred thousand".