209048973120 has 784 divisors, whose sum is σ = 831833246160. Its totient is φ = 49662885888.

The previous prime is 209048973073. The next prime is 209048973131. The reversal of 209048973120 is 21379840902.

209048973120 is a `hidden beast` number, since 2 + 0 + 90 + 489 + 73 + 12 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19050624576 + 189998348544 = 138024^2 + 435888^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 87945372 + ... + 87947748.

Almost surely, 2^209048973120 is an apocalyptic number.

209048973120 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 209048973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415916623080).

209048973120 is an abundant number, since it is smaller than the sum of its proper divisors (622784273040).

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

209048973120 is a wasteful number, since it uses less digits than its factorization.

209048973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 209048973120 in words is "two hundred nine billion, forty-eight million, nine hundred seventy-three thousand, one hundred twenty".