209128872960 has 264 divisors, whose sum is σ = 828145390176. Its totient is φ = 47800811520.

The previous prime is 209128872949. The next prime is 209128872973. The reversal of 209128872960 is 69278821902.

209128872960 is a `hidden beast` number, since 209 + 1 + 288 + 72 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 209128872897 and 209128872906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1611 + ... + 646730.

Almost surely, 2^209128872960 is an apocalyptic number.

209128872960 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 209128872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414072695088).

209128872960 is an abundant number, since it is smaller than the sum of its proper divisors (619016517216).

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

209128872960 is a wasteful number, since it uses less digits than its factorization.

209128872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648379 (or 648358 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 209128872960 in words is "two hundred nine billion, one hundred twenty-eight million, eight hundred seventy-two thousand, nine hundred sixty".