209986416072 has 96 divisors (see below), whose sum is σ = 573488959680. Its totient is φ = 69409491840.

The previous prime is 209986416053. The next prime is 209986416083. The reversal of 209986416072 is 270614689902.

209986416072 is a `hidden beast` number, since 20 + 9 + 9 + 8 + 6 + 4 + 1 + 607 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5667447 + ... + 5704377.

It is an arithmetic number, because the mean of its divisors is an integer number (5973843330).

Almost surely, 2^209986416072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209986416072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286744479840).

209986416072 is an abundant number, since it is smaller than the sum of its proper divisors (363502543608).

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

209986416072 is a wasteful number, since it uses less digits than its factorization.

209986416072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37603 (or 37596 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 209986416072 in words is "two hundred nine billion, nine hundred eighty-six million, four hundred sixteen thousand, seventy-two".