208996204800 has 216 divisors, whose sum is σ = 730304570016. Its totient is φ = 52453867520.

The previous prime is 208996204789. The next prime is 208996204819. The reversal of 208996204800 is 8402699802.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 208996204800.

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, 6247 + ... + 646553.

It is an arithmetic number, because the mean of its divisors is an integer number (3381039676).

Almost surely, 2^208996204800 is an apocalyptic number.

208996204800 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 208996204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365152285008).

208996204800 is an abundant number, since it is smaller than the sum of its proper divisors (521308365216).

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

208996204800 is a wasteful number, since it uses less digits than its factorization.

208996204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640353 (or 640334 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 208996204800 in words is "two hundred eight billion, nine hundred ninety-six million, two hundred four thousand, eight hundred".