206245860480 has 1536 divisors, whose sum is σ = 867290561280. Its totient is φ = 44590694400.

The previous prime is 206245860439. The next prime is 206245860503. The reversal of 206245860480 is 84068542602.

206245860480 is a `hidden beast` number, since 2 + 0 + 6 + 24 + 586 + 0 + 48 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2825285724 + ... + 2825285796.

Almost surely, 2^206245860480 is an apocalyptic number.

206245860480 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 206245860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433645280640).

206245860480 is an abundant number, since it is smaller than the sum of its proper divisors (661044700800).

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

206245860480 is a wasteful number, since it uses less digits than its factorization.

206245860480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 206245860480 in words is "two hundred six billion, two hundred forty-five million, eight hundred sixty thousand, four hundred eighty".