208421129088 has 192 divisors, whose sum is σ = 603790387200. Its totient is φ = 69007832064.

The previous prime is 208421129009. The next prime is 208421129101. The reversal of 208421129088 is 880921124802.

208421129088 is a `hidden beast` number, since 20 + 8 + 421 + 129 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133005681 + ... + 133007247.

It is an arithmetic number, because the mean of its divisors is an integer number (3144741600).

Almost surely, 2^208421129088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208421129088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301895193600).

208421129088 is an abundant number, since it is smaller than the sum of its proper divisors (395369258112).

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

208421129088 is a wasteful number, since it uses less digits than its factorization.

208421129088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 208421129088 in words is "two hundred eight billion, four hundred twenty-one million, one hundred twenty-nine thousand, eighty-eight".