209896115873472 has 560 divisors, whose sum is σ = 725621714737920. Its totient is φ = 58752034560000.

The previous prime is 209896115873413. The next prime is 209896115873491. The reversal of 209896115873472 is 274378511698902.

209896115873472 is a `hidden beast` number, since 2 + 0 + 9 + 8 + 9 + 6 + 1 + 1 + 587 + 34 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 209896115873472.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 555416679 + ... + 555794457.

It is an arithmetic number, because the mean of its divisors is an integer number (1295753062032).

It is a 1-persistent number, because it is pandigital, but 2⋅209896115873472 = 419792231746944 is not.

Almost surely, 2^{209896115873472} 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 209896115873472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362810857368960).

209896115873472 is an abundant number, since it is smaller than the sum of its proper divisors (515725598864448).

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

209896115873472 is a wasteful number, since it uses less digits than its factorization.

209896115873472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378122 (or 378103 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 209896115873472 in words is "two hundred nine trillion, eight hundred ninety-six billion, one hundred fifteen million, eight hundred seventy-three thousand, four hundred seventy-two".