208882827264 has 136 divisors (see below), whose sum is σ = 570624414192. Its totient is φ = 67926753280.

The previous prime is 208882827253. The next prime is 208882827287. The reversal of 208882827264 is 462728288802.

208882827264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8047972 + ... + 8073884.

Almost surely, 2^208882827264 is an apocalyptic number.

208882827264 is a gapful number since it is divisible by the number (24) 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 208882827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285312207096).

208882827264 is an abundant number, since it is smaller than the sum of its proper divisors (361741586928).

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

208882827264 is an frugal number, since it uses more digits than its factorization.

208882827264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25989 (or 25959 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 57.

The spelling of 208882827264 in words is "two hundred eight billion, eight hundred eighty-two million, eight hundred twenty-seven thousand, two hundred sixty-four".