206385195520 has 320 divisors, whose sum is σ = 587067782400. Its totient is φ = 68083384320.

The previous prime is 206385195517. The next prime is 206385195553. The reversal of 206385195520 is 25591583602.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212548635 + ... + 212549605.

It is an arithmetic number, because the mean of its divisors is an integer number (1834586820).

Almost surely, 2^206385195520 is an apocalyptic number.

206385195520 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 206385195520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293533891200).

206385195520 is an abundant number, since it is smaller than the sum of its proper divisors (380682586880).

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

206385195520 is an equidigital number, since it uses as much as digits as its factorization.

206385195520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 46.

The spelling of 206385195520 in words is "two hundred six billion, three hundred eighty-five million, one hundred ninety-five thousand, five hundred twenty".