208309252680 has 192 divisors, whose sum is σ = 694004613120. Its totient is φ = 54156211200.

The previous prime is 208309252643. The next prime is 208309252757. The reversal of 208309252680 is 86252903802.

It is a happy number.

208309252680 is a `hidden beast` number, since 2 + 0 + 8 + 30 + 92 + 526 + 8 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 25427385 + ... + 25435575.

It is an arithmetic number, because the mean of its divisors is an integer number (3614607360).

Almost surely, 2^208309252680 is an apocalyptic number.

208309252680 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 208309252680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347002306560).

208309252680 is an abundant number, since it is smaller than the sum of its proper divisors (485695360440).

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

208309252680 is a wasteful number, since it uses less digits than its factorization.

208309252680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9972 (or 9965 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 208309252680 in words is "two hundred eight billion, three hundred nine million, two hundred fifty-two thousand, six hundred eighty".