208050534720 has 672 divisors, whose sum is σ = 864468639360. Its totient is φ = 47546569728.

The previous prime is 208050534709. The next prime is 208050534721. The reversal of 208050534720 is 27435050802.

208050534720 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 50 + 534 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208050534721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34289127 + ... + 34295193.

Almost surely, 2^208050534720 is an apocalyptic number.

208050534720 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 208050534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432234319680).

208050534720 is an abundant number, since it is smaller than the sum of its proper divisors (656418104640).

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

208050534720 is an frugal number, since it uses more digits than its factorization.

208050534720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6119 (or 6084 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 208050534720 in words is "two hundred eight billion, fifty million, five hundred thirty-four thousand, seven hundred twenty".