206875414880 has 192 divisors, whose sum is σ = 518637385728. Its totient is φ = 77855662080.

The previous prime is 206875414871. The next prime is 206875414897. The reversal of 206875414880 is 88414578602.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

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, 48412424 + ... + 48416696.

It is an arithmetic number, because the mean of its divisors is an integer number (2701236384).

Almost surely, 2^206875414880 is an apocalyptic number.

206875414880 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 206875414880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259318692864).

206875414880 is an abundant number, since it is smaller than the sum of its proper divisors (311761970848).

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

206875414880 is a wasteful number, since it uses less digits than its factorization.

206875414880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4589 (or 4581 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 53.

The spelling of 206875414880 in words is "two hundred six billion, eight hundred seventy-five million, four hundred fourteen thousand, eight hundred eighty".