206804828160 has 1440 divisors, whose sum is σ = 910849201920. Its totient is φ = 43571478528.

The previous prime is 206804828143. The next prime is 206804828173. The reversal of 206804828160 is 61828408602.

206804828160 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 0 + 482 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5589319662 + ... + 5589319698.

It is an arithmetic number, because the mean of its divisors is an integer number (632534168).

Almost surely, 2^206804828160 is an apocalyptic number.

206804828160 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 206804828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455424600960).

206804828160 is an abundant number, since it is smaller than the sum of its proper divisors (704044373760).

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

206804828160 is an equidigital number, since it uses as much as digits as its factorization.

206804828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 206804828160 in words is "two hundred six billion, eight hundred four million, eight hundred twenty-eight thousand, one hundred sixty".