206861782080000 has 400 divisors, whose sum is σ = 689079125845440. Its totient is φ = 55128403968000.

The previous prime is 206861782079993. The next prime is 206861782080049. The reversal of 206861782080000 is 80287168602.

It is a tau number, because it is divible by the number of its divisors (400).

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

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 39 ways as a sum of consecutive naturals, for example, 1542652956 + ... + 1542787044.

Almost surely, 2^{206861782080000} is an apocalyptic number.

206861782080000 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 206861782080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344539562922720).

206861782080000 is an abundant number, since it is smaller than the sum of its proper divisors (482217343765440).

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

206861782080000 is an equidigital number, since it uses as much as digits as its factorization.

206861782080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135737 (or 135706 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 206861782080000 in words is "two hundred six trillion, eight hundred sixty-one billion, seven hundred eighty-two million, eighty thousand".