209065676425088 has 256 divisors, whose sum is σ = 505123395993600. Its totient is φ = 84194111232000.

The previous prime is 209065676425079. The next prime is 209065676425097. The reversal of 209065676425088 is 880524676560902.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (209065676425079) and next prime (209065676425097).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10704289883 + ... + 10704309413.

It is an arithmetic number, because the mean of its divisors is an integer number (1973138265600).

Almost surely, 2^{209065676425088} is an apocalyptic number.

209065676425088 is a gapful number since it is divisible by the number (28) 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 209065676425088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252561697996800).

209065676425088 is an abundant number, since it is smaller than the sum of its proper divisors (296057719568512).

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

209065676425088 is a wasteful number, since it uses less digits than its factorization.

209065676425088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24649 (or 24637 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 68.

The spelling of 209065676425088 in words is "two hundred nine trillion, sixty-five billion, six hundred seventy-six million, four hundred twenty-five thousand, eighty-eight".