206089452720 has 240 divisors, whose sum is σ = 707115277440. Its totient is φ = 53771986944.

The previous prime is 206089452713. The next prime is 206089452721. The reversal of 206089452720 is 27254980602.

206089452720 is a `hidden beast` number, since 20 + 6 + 0 + 89 + 4 + 527 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (206089452721) 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, 14226441 + ... + 14240919.

It is an arithmetic number, because the mean of its divisors is an integer number (2946313656).

Almost surely, 2^206089452720 is an apocalyptic number.

206089452720 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 206089452720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353557638720).

206089452720 is an abundant number, since it is smaller than the sum of its proper divisors (501025824720).

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

206089452720 is a wasteful number, since it uses less digits than its factorization.

206089452720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14924 (or 14915 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 206089452720 in words is "two hundred six billion, eighty-nine million, four hundred fifty-two thousand, seven hundred twenty".