209676613360896 has 1152 divisors, whose sum is σ = 712732410593280. Its totient is φ = 60183464140800.

The previous prime is 209676613360789. The next prime is 209676613360909. The reversal of 209676613360896 is 698063316676902.

It is a happy number.

209676613360896 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 7 + 6 + 6 + 1 + 3 + 3 + 608 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 180289434811 + ... + 180289435973.

It is an arithmetic number, because the mean of its divisors is an integer number (618691328640).

Almost surely, 2^{209676613360896} 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 209676613360896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356366205296640).

209676613360896 is an abundant number, since it is smaller than the sum of its proper divisors (503055797232384).

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

209676613360896 is a wasteful number, since it uses less digits than its factorization.

209676613360896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 209676613360896 in words is "two hundred nine trillion, six hundred seventy-six billion, six hundred thirteen million, three hundred sixty thousand, eight hundred ninety-six".