206058742450800 has 120 divisors (see below), whose sum is σ = 660079601844480. Its totient is φ = 54948601440000.

The previous prime is 206058742450787. The next prime is 206058742450831. The reversal of 206058742450800 is 8054247850602.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190210675 + ... + 191290925.

It is an arithmetic number, because the mean of its divisors is an integer number (5500663348704).

Almost surely, 2^{206058742450800} is an apocalyptic number.

206058742450800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206058742450800 is an abundant number, since it is smaller than the sum of its proper divisors (454020859393680).

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

206058742450800 is a wasteful number, since it uses less digits than its factorization.

206058742450800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239231 (or 1239220 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 51.

The spelling of 206058742450800 in words is "two hundred six trillion, fifty-eight billion, seven hundred forty-two million, four hundred fifty thousand, eight hundred".