206185240800 has 2160 divisors, whose sum is σ = 991198809216. Its totient is φ = 40497408000.

The previous prime is 206185240777. The next prime is 206185240813. The reversal of 206185240800 is 8042581602.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 4795005579 + ... + 4795005621.

Almost surely, 2^206185240800 is an apocalyptic number.

206185240800 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 206185240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495599404608).

206185240800 is an abundant number, since it is smaller than the sum of its proper divisors (785013568416).

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

206185240800 is a wasteful number, since it uses less digits than its factorization.

206185240800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

It can be divided in two parts, 206185 and 240800, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 206185240800 in words is "two hundred six billion, one hundred eighty-five million, two hundred forty thousand, eight hundred".