206555548080 has 320 divisors, whose sum is σ = 740692592640. Its totient is φ = 46640627712.

The previous prime is 206555548061. The next prime is 206555548091. The reversal of 206555548080 is 80845555602.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144544806 + ... + 144546234.

It is an arithmetic number, because the mean of its divisors is an integer number (2314664352).

Almost surely, 2^206555548080 is an apocalyptic number.

206555548080 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 206555548080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370346296320).

206555548080 is an abundant number, since it is smaller than the sum of its proper divisors (534137044560).

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

206555548080 is a wasteful number, since it uses less digits than its factorization.

206555548080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 48.

The spelling of 206555548080 in words is "two hundred six billion, five hundred fifty-five million, five hundred forty-eight thousand, eighty".