209968762461120 has 672 divisors, whose sum is σ = 815257868128704. Its totient is φ = 49251350937600.

The previous prime is 209968762461119. The next prime is 209968762461131. The reversal of 209968762461120 is 21164267869902.

209968762461120 is a `hidden beast` number, since 2 + 0 + 9 + 9 + 6 + 8 + 7 + 6 + 2 + 4 + 611 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64416210 + ... + 67597230.

It is an arithmetic number, because the mean of its divisors is an integer number (1213181351382).

Almost surely, 2^{209968762461120} is an apocalyptic number.

209968762461120 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 209968762461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407628934064352).

209968762461120 is an abundant number, since it is smaller than the sum of its proper divisors (605289105667584).

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

209968762461120 is a wasteful number, since it uses less digits than its factorization.

209968762461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181141 (or 3181128 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 209968762461120 in words is "two hundred nine trillion, nine hundred sixty-eight billion, seven hundred sixty-two million, four hundred sixty-one thousand, one hundred twenty".