206138290050 has 288 divisors, whose sum is σ = 720506741760. Its totient is φ = 40971427200.

The previous prime is 206138290049. The next prime is 206138290097. The reversal of 206138290050 is 50092831602.

It is a junction number, because it is equal to n+sod(n) for n = 206138289987 and 206138290014.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 667621 + ... + 926279.

It is an arithmetic number, because the mean of its divisors is an integer number (2501759520).

Almost surely, 2^206138290050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206138290050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360253370880).

206138290050 is an abundant number, since it is smaller than the sum of its proper divisors (514368451710).

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

206138290050 is a wasteful number, since it uses less digits than its factorization.

206138290050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258718 (or 258710 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 206138290050 in words is "two hundred six billion, one hundred thirty-eight million, two hundred ninety thousand, fifty".