2211275866800 has 960 divisors, whose sum is σ = 9536663614464. Its totient is φ = 422981222400.

The previous prime is 2211275866741. The next prime is 2211275866817. The reversal of 2211275866800 is 86685721122.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2211275866800.

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 191 ways as a sum of consecutive naturals, for example, 476874082 + ... + 476878718.

Almost surely, 2^{2211275866800} is an apocalyptic number.

2211275866800 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 2211275866800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4768331807232).

2211275866800 is an abundant number, since it is smaller than the sum of its proper divisors (7325387747664).

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

2211275866800 is a wasteful number, since it uses less digits than its factorization.

2211275866800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086 (or 5075 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 2211275866800 in words is "two trillion, two hundred eleven billion, two hundred seventy-five million, eight hundred sixty-six thousand, eight hundred".