206397945761280 has 960 divisors, whose sum is σ = 846760012515648. Its totient is φ = 42485518172160.

The previous prime is 206397945761279. The next prime is 206397945761291. The reversal of 206397945761280 is 82167549793602.

206397945761280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×206397945761280² (a number of 29 digits) contains 22 as substring.

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, 200064054 + ... + 201093066.

It is a 1-persistent number, because it is pandigital, but 2⋅206397945761280 = 412795891522560 is not.

Almost surely, 2^{206397945761280} is an apocalyptic number.

206397945761280 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 206397945761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423380006257824).

206397945761280 is an abundant number, since it is smaller than the sum of its proper divisors (640362066754368).

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

206397945761280 is a wasteful number, since it uses less digits than its factorization.

206397945761280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029107 (or 1029084 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 69.

The spelling of 206397945761280 in words is "two hundred six trillion, three hundred ninety-seven billion, nine hundred forty-five million, seven hundred sixty-one thousand, two hundred eighty".