2111057206200 has 288 divisors, whose sum is σ = 7180506824400. Its totient is φ = 555769159680.

The previous prime is 2111057206157. The next prime is 2111057206207. The reversal of 2111057206200 is 26027501112.

2111057206200 is a `hidden beast` number, since 2 + 1 + 1 + 10 + 5 + 7 + 20 + 620 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111057206207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56413096 + ... + 56450504.

Almost surely, 2^{2111057206200} is an apocalyptic number.

2111057206200 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 2111057206200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590253412200).

2111057206200 is an abundant number, since it is smaller than the sum of its proper divisors (5069449618200).

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

2111057206200 is a wasteful number, since it uses less digits than its factorization.

2111057206200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37831 (or 37819 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 2111057206200 in words is "two trillion, one hundred eleven billion, fifty-seven million, two hundred six thousand, two hundred".