209879886479328 has 768 divisors, whose sum is σ = 685254478970880. Its totient is φ = 62060542156800.

The previous prime is 209879886479323. The next prime is 209879886479363. The reversal of 209879886479328 is 823974688978902.

209879886479328 is a `hidden beast` number, since 2 + 0 + 9 + 87 + 9 + 88 + 64 + 79 + 328 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209879886479323) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29995692726 + ... + 29995699722.

It is an arithmetic number, because the mean of its divisors is an integer number (892258436160).

Almost surely, 2^{209879886479328} 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 209879886479328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342627239485440).

209879886479328 is an abundant number, since it is smaller than the sum of its proper divisors (475374592491552).

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

209879886479328 is a wasteful number, since it uses less digits than its factorization.

209879886479328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7648 (or 7634 counting only the distinct ones).

The product of its (nonzero) digits is 42138206208, while the sum is 90.

The spelling of 209879886479328 in words is "two hundred nine trillion, eight hundred seventy-nine billion, eight hundred eighty-six million, four hundred seventy-nine thousand, three hundred twenty-eight".