206757100000000 has 648 divisors, whose sum is σ = 568658872909008. Its totient is φ = 74400000000000.

The previous prime is 206757099999949. The next prime is 206757100000007. The reversal of 206757100000000 is 1757602.

It is not an unprimeable number, because it can be changed into a prime (206757100000007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111099999070 + ... + 111100000930.

Almost surely, 2^{206757100000000} is an apocalyptic number.

206757100000000 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 206757100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284329436454504).

206757100000000 is an abundant number, since it is smaller than the sum of its proper divisors (361901772909008).

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

206757100000000 is an frugal number, since it uses more digits than its factorization.

206757100000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

Adding to 206757100000000 its reverse (1757602), we get a palindrome (206757101757602).

The spelling of 206757100000000 in words is "two hundred six trillion, seven hundred fifty-seven billion, one hundred million", and thus it is an aban number.