206272331520 has 288 divisors, whose sum is σ = 727867026432. Its totient is φ = 49519067136.

The previous prime is 206272331513. The next prime is 206272331533. The reversal of 206272331520 is 25133272602.

It is a congruent number.

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, 1432749 + ... + 1570131.

It is an arithmetic number, because the mean of its divisors is an integer number (2527316064).

Almost surely, 2^206272331520 is an apocalyptic number.

206272331520 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 206272331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363933513216).

206272331520 is an abundant number, since it is smaller than the sum of its proper divisors (521594694912).

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

206272331520 is a wasteful number, since it uses less digits than its factorization.

206272331520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137447 (or 137433 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 206272331520 in words is "two hundred six billion, two hundred seventy-two million, three hundred thirty-one thousand, five hundred twenty".