206125680096 has 768 divisors, whose sum is σ = 726456729600. Its totient is φ = 55651774464.

The previous prime is 206125680037. The next prime is 206125680109. The reversal of 206125680096 is 690086521602.

206125680096 is a `hidden beast` number, since 20 + 61 + 2 + 568 + 0 + 0 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1504566940 + ... + 1504567076.

It is an arithmetic number, because the mean of its divisors is an integer number (945907200).

Almost surely, 2^206125680096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206125680096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363228364800).

206125680096 is an abundant number, since it is smaller than the sum of its proper divisors (520331049504).

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

206125680096 is a wasteful number, since it uses less digits than its factorization.

206125680096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 206125680096 in words is "two hundred six billion, one hundred twenty-five million, six hundred eighty thousand, ninety-six".