209103138720 has 288 divisors, whose sum is σ = 830891198592. Its totient is φ = 46893090816.

The previous prime is 209103138679. The next prime is 209103138733. The reversal of 209103138720 is 27831301902.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338539 + ... + 729941.

It is an arithmetic number, because the mean of its divisors is an integer number (2885038884).

Almost surely, 2^209103138720 is an apocalyptic number.

209103138720 is a gapful number since it is divisible by the number (20) 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 209103138720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415445599296).

209103138720 is an abundant number, since it is smaller than the sum of its proper divisors (621788059872).

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

209103138720 is a wasteful number, since it uses less digits than its factorization.

209103138720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391484 (or 391473 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 209103138720 in words is "two hundred nine billion, one hundred three million, one hundred thirty-eight thousand, seven hundred twenty".