206405046120 has 1536 divisors, whose sum is σ = 880317849600. Its totient is φ = 38166847488.

The previous prime is 206405046079. The next prime is 206405046121. The reversal of 206405046120 is 21640504602.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (206405046121) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 1235958277 + ... + 1235958443.

It is an arithmetic number, because the mean of its divisors is an integer number (573123600).

Almost surely, 2^206405046120 is an apocalyptic number.

206405046120 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 206405046120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440158924800).

206405046120 is an abundant number, since it is smaller than the sum of its proper divisors (673912803480).

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

206405046120 is a wasteful number, since it uses less digits than its factorization.

206405046120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 206405046120 in words is "two hundred six billion, four hundred five million, forty-six thousand, one hundred twenty".