206394220800 has 1080 divisors, whose sum is σ = 801543447936. Its totient is φ = 52347617280.

The previous prime is 206394220727. The next prime is 206394220807. The reversal of 206394220800 is 8022493602.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is not an unprimeable number, because it can be changed into a prime (206394220807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1047686302 + ... + 1047686498.

Almost surely, 2^206394220800 is an apocalyptic number.

206394220800 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 206394220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400771723968).

206394220800 is an abundant number, since it is smaller than the sum of its proper divisors (595149227136).

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

206394220800 is a wasteful number, since it uses less digits than its factorization.

206394220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 206394220800 in words is "two hundred six billion, three hundred ninety-four million, two hundred twenty thousand, eight hundred".