206801356608000 has 6400 divisors, whose sum is σ = 1000860109996032. Its totient is φ = 41206579200000.

The previous prime is 206801356607983. The next prime is 206801356608013. The reversal of 206801356608000 is 806653108602.

206801356608000 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 0 + 1 + 3 + 566 + 0 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6400).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1369545407925 + ... + 1369545408075.

Almost surely, 2^{206801356608000} is an apocalyptic number.

206801356608000 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 206801356608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500430054998016).

206801356608000 is an abundant number, since it is smaller than the sum of its proper divisors (794058753388032).

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

206801356608000 is a wasteful number, since it uses less digits than its factorization.

206801356608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 206801356608000 in words is "two hundred six trillion, eight hundred one billion, three hundred fifty-six million, six hundred eight thousand".