206139939840 has 528 divisors, whose sum is σ = 756709544448. Its totient is φ = 51777994752.

The previous prime is 206139939829. The next prime is 206139939847. The reversal of 206139939840 is 48939931602.

206139939840 is a `hidden beast` number, since 206 + 1 + 3 + 9 + 9 + 398 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206139939847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71007829 + ... + 71010731.

It is an arithmetic number, because the mean of its divisors is an integer number (1433162016).

Almost surely, 2^206139939840 is an apocalyptic number.

206139939840 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 206139939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378354772224).

206139939840 is an abundant number, since it is smaller than the sum of its proper divisors (550569604608).

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

206139939840 is a wasteful number, since it uses less digits than its factorization.

206139939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 206139939840 in words is "two hundred six billion, one hundred thirty-nine million, nine hundred thirty-nine thousand, eight hundred forty".