211199080 has 64 divisors (see below), whose sum is σ = 488339280. Its totient is φ = 82176000.

The previous prime is 211199033. The next prime is 211199089. The reversal of 211199080 is 80991112.

It can be written as a sum of positive squares in 8 ways, for example, as 141943396 + 69255684 = 11914^2 + 8322^2 .

It is not an unprimeable number, because it can be changed into a prime (211199089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246012 + ... + 246868.

Almost surely, 2^211199080 is an apocalyptic number.

211199080 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 211199080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244169640).

211199080 is an abundant number, since it is smaller than the sum of its proper divisors (277140200).

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

211199080 is a wasteful number, since it uses less digits than its factorization.

211199080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 31.

The square root of 211199080 is about 14532.6900469252. The cubic root of 211199080 is about 595.5213564700.

The spelling of 211199080 in words is "two hundred eleven million, one hundred ninety-nine thousand, eighty".